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TRS Standard pair #487068527
details
property
value
status
complete
benchmark
z23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.87854 seconds
cpu usage
15.5599
user time
13.7439
system time
1.81595
max virtual memory
6211900.0
max residence set size
216080.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,a(b(c(y)))) -> f(b(c(a(b(x)))),y) f(a(x),y) -> f(x,a(y)) f(b(x),y) -> f(x,b(y)) f(c(x),y) -> f(x,c(y)) Proof: DP Processor: DPs: f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) f#(a(x),y) -> f#(x,a(y)) f#(b(x),y) -> f#(x,b(y)) f#(c(x),y) -> f#(x,c(y)) TRS: f(x,a(b(c(y)))) -> f(b(c(a(b(x)))),y) f(a(x),y) -> f(x,a(y)) f(b(x),y) -> f(x,b(y)) f(c(x),y) -> f(x,c(y)) EDG Processor: DPs: f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) f#(a(x),y) -> f#(x,a(y)) f#(b(x),y) -> f#(x,b(y)) f#(c(x),y) -> f#(x,c(y)) TRS: f(x,a(b(c(y)))) -> f(b(c(a(b(x)))),y) f(a(x),y) -> f(x,a(y)) f(b(x),y) -> f(x,b(y)) f(c(x),y) -> f(x,c(y)) graph: f#(a(x),y) -> f#(x,a(y)) -> f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) f#(a(x),y) -> f#(x,a(y)) -> f#(a(x),y) -> f#(x,a(y)) f#(a(x),y) -> f#(x,a(y)) -> f#(b(x),y) -> f#(x,b(y)) f#(a(x),y) -> f#(x,a(y)) -> f#(c(x),y) -> f#(x,c(y)) f#(b(x),y) -> f#(x,b(y)) -> f#(a(x),y) -> f#(x,a(y)) f#(b(x),y) -> f#(x,b(y)) -> f#(b(x),y) -> f#(x,b(y)) f#(b(x),y) -> f#(x,b(y)) -> f#(c(x),y) -> f#(x,c(y)) f#(c(x),y) -> f#(x,c(y)) -> f#(a(x),y) -> f#(x,a(y)) f#(c(x),y) -> f#(x,c(y)) -> f#(b(x),y) -> f#(x,b(y)) f#(c(x),y) -> f#(x,c(y)) -> f#(c(x),y) -> f#(x,c(y)) f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) -> f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) -> f#(b(x),y) -> f#(x,b(y)) Bounds Processor: bound: 1 enrichment: match-dp automaton: final states: {13} transitions: f50() -> 14* c1(33) -> 31* c1(15) -> 31* c1(38) -> 31* c1(23) -> 31* b0(31) -> 15* b0(15) -> 15* b0(23) -> 15* b0(14) -> 23* b0(38) -> 15* b0(26) -> 23* b0(25) -> 26* f{#,0}(14,31) -> 13* f{#,0}(26,15) -> 13* f{#,0}(14,38) -> 13* f{#,0}(26,14) -> 13* f{#,0}(14,15) -> 13* f{#,0}(25,15) -> 13* f{#,0}(26,23) -> 13* f{#,0}(25,23) -> 13* f{#,0}(14,32) -> 13* f{#,0}(26,38) -> 13* f{#,0}(26,31) -> 13* b1(33) -> 38* b1(32) -> 33* a1(31) -> 32* c0(24) -> 25* c0(31) -> 15* c0(15) -> 15* c0(32) -> 15* c0(14) -> 15* f{#,1}(24,31) -> 13* f{#,1}(26,33) -> 13* f{#,1}(14,33) -> 13* f{#,1}(25,33) -> 13* f{#,1}(26,32) -> 13* f{#,1}(25,38) -> 13* f{#,1}(23,32) -> 13* a0(38) -> 15* a0(23) -> 24* a0(15) -> 15* a0(26) -> 24* a0(32) -> 15* a0(33) -> 15* problem: DPs: f#(x,a(b(c(y)))) -> f#(b(c(a(b(x)))),y) f#(a(x),y) -> f#(x,a(y)) f#(b(x),y) -> f#(x,b(y))
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