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TRS Standard pair #487067501
details
property
value
status
complete
benchmark
#3.13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0601311 seconds
cpu usage
0.031795
user time
0.013777
system time
0.018018
max virtual memory
113188.0
max residence set size
6416.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: eq(0(),0()) -> true() 2: eq(0(),s(x)) -> false() 3: eq(s(x),0()) -> false() 4: eq(s(x),s(y)) -> eq(x,y) 5: or(true(),y) -> true() 6: or(false(),y) -> y 7: union(empty(),h) -> h 8: union(edge(x,y,i),h) -> edge(x,y,union(i,h)) 9: reach(x,y,empty(),h) -> false() 10: reach(x,y,edge(u,v,i),h) -> if_reach_1(eq(x,u),x,y,edge(u,v,i),h) 11: if_reach_1(true(),x,y,edge(u,v,i),h) -> if_reach_2(eq(y,v),x,y,edge(u,v,i),h) 12: if_reach_2(true(),x,y,edge(u,v,i),h) -> true() 13: if_reach_2(false(),x,y,edge(u,v,i),h) -> or(reach(x,y,i,h),reach(v,y,union(i,h),empty())) 14: if_reach_1(false(),x,y,edge(u,v,i),h) -> reach(x,y,i,edge(u,v,h)) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #if_reach_2(false(),x,y,edge(u,v,i),h) -> #or(reach(x,y,i,h),reach(v,y,union(i,h),empty())) #2: #if_reach_2(false(),x,y,edge(u,v,i),h) -> #reach(x,y,i,h) #3: #if_reach_2(false(),x,y,edge(u,v,i),h) -> #reach(v,y,union(i,h),empty()) #4: #if_reach_2(false(),x,y,edge(u,v,i),h) -> #union(i,h) #5: #if_reach_1(true(),x,y,edge(u,v,i),h) -> #if_reach_2(eq(y,v),x,y,edge(u,v,i),h) #6: #if_reach_1(true(),x,y,edge(u,v,i),h) -> #eq(y,v) #7: #if_reach_1(false(),x,y,edge(u,v,i),h) -> #reach(x,y,i,edge(u,v,h)) #8: #reach(x,y,edge(u,v,i),h) -> #if_reach_1(eq(x,u),x,y,edge(u,v,i),h) #9: #reach(x,y,edge(u,v,i),h) -> #eq(x,u) #10: #union(edge(x,y,i),h) -> #union(i,h) #11: #eq(s(x),s(y)) -> #eq(x,y) Number of SCCs: 3, DPs: 7 SCC { #11 } POLO(Sum)... succeeded. s w: x1 + 1 #if_reach_1 w: 0 edge w: 0 #if_reach_2 w: 0 eq w: 0 false w: 0 reach w: 0 if_reach_2 w: 0 true w: 0 #reach w: 0 #eq w: x2 0 w: 0 union w: 0 or w: 0 empty w: 0 if_reach_1 w: 0 #or w: 0 #union w: 0 USABLE RULES: { } Removed DPs: #11 Number of SCCs: 2, DPs: 6 SCC { #10 } POLO(Sum)... succeeded. s w: 1 #if_reach_1 w: 0 edge w: x3 + 1 #if_reach_2 w: 0 eq w: 0 false w: 0 reach w: 0 if_reach_2 w: 0 true w: 0 #reach w: 0 #eq w: 0 0 w: 0 union w: 0 or w: 0 empty w: 0 if_reach_1 w: 0 #or w: 0 #union w: x1 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 1, DPs: 5 SCC { #2 #3 #5 #7 #8 } POLO(Sum)... succeeded. s w: 1 #if_reach_1 w: x2 + x3 + x4 + x5 + 1 edge w: x2 + x3 + 61306 #if_reach_2 w: x2 + x3 + x4 + x5 eq w: x1 + x2 + 1 false w: 4 reach w: 0 if_reach_2 w: 0 true w: 4 #reach w: x1 + x2 + x3 + x4 + 1 #eq w: 0 0 w: 1 union w: x1 + x2 + 17221 or w: 0 empty w: 44083 if_reach_1 w: 0 #or w: 0 #union w: 0 USABLE RULES: { 7 8 } Removed DPs: #2 #3 #5
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