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TRS_Equational 2019-03-21 05.09 pair #429997302
details
property
value
status
complete
benchmark
intersect.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.123732 seconds
cpu usage
0.083458
user time
0.058093
system time
0.025365
max virtual memory
113176.0
max residence set size
8844.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.12 YES 0.00/0.12 Input TRS: 0.00/0.12 AC symbols: inter union 0.00/0.12 C symbols: eq 0.00/0.12 1: if(true(),x,y) -> x 0.00/0.12 2: if(false(),x,y) -> y 0.00/0.12 3: eq(0(),0()) -> true() 0.00/0.12 4: eq(0(),s(x)) -> false() 0.00/0.12 5: eq(s(x),s(y)) -> eq(x,y) 0.00/0.12 6: union(empty(),x) -> x 0.00/0.12 7: inter(empty(),x) -> empty() 0.00/0.12 8: inter(union(y,z),x) -> union(inter(x,y),inter(x,z)) 0.00/0.12 9: inter(singl(x),singl(y)) -> if(eq(x,y),singl(x),empty()) 0.00/0.12 Number of strict rules: 9 0.00/0.12 Direct POLO(bPol) ... failed. 0.00/0.12 Uncurrying ... failed. 0.00/0.12 Dependency Pairs: 0.00/0.12 #1: #inter(singl(x),singl(y)) -> #if(eq(x,y),singl(x),empty()) 0.00/0.12 #2: #inter(singl(x),singl(y)) -> #eq(x,y) 0.00/0.12 #3: #union(x,union(y,z)) ->= #union(union(x,y),z) 0.00/0.12 #4: #union(x,union(y,z)) ->= #union(x,y) 0.00/0.12 #5: #inter(x,inter(y,z)) ->= #inter(inter(x,y),z) 0.00/0.12 #6: #inter(x,inter(y,z)) ->= #inter(x,y) 0.00/0.12 #7: #eq(s(x),s(y)) -> #eq(x,y) 0.00/0.12 #8: #inter(union(y,z),x) -> #union(inter(x,y),inter(x,z)) 0.00/0.12 #9: #inter(union(y,z),x) -> #inter(x,y) 0.00/0.12 #10: #inter(union(y,z),x) -> #inter(x,z) 0.00/0.12 Number of SCCs: 3, DPs: 7 0.00/0.12 SCC { #7 } 0.00/0.12 POLO(Sum)... succeeded. 0.00/0.12 s w: x1 + 1 0.00/0.12 eq w: 0 0.00/0.12 false w: 0 0.00/0.12 true w: 0 0.00/0.12 #eq w: x1 + x2 0.00/0.12 if w: 0 0.00/0.12 0 w: 0 0.00/0.12 union w: 0 0.00/0.12 singl w: 0 0.00/0.12 #if w: 0 0.00/0.12 inter w: 0 0.00/0.12 empty w: 0 0.00/0.12 #inter w: 0 0.00/0.12 #union w: 0 0.00/0.12 USABLE RULES: { } 0.00/0.12 Removed DPs: #7 0.00/0.12 Number of SCCs: 2, DPs: 6 0.00/0.12 SCC { #3 #4 } 0.00/0.12 only weak rules. 0.00/0.12 Number of SCCs: 1, DPs: 4 0.00/0.12 SCC { #5 #6 #9 #10 } 0.00/0.12 POLO(Sum)... POLO(max)... QLPOS... succeeded. 0.00/0.12 s s: [1] p: 2 0.00/0.12 eq s: {1,2} p: 1 0.00/0.12 false s: [] p: 0 0.00/0.12 true s: [] p: 0 0.00/0.12 #eq s: {} p: 0 0.00/0.12 if s: [2,3] p: 3 0.00/0.12 0 s: [] p: 0 0.00/0.12 union s: {1,2} p: 0 0.00/0.12 singl s: 1 0.00/0.12 #if s: [] p: 0 0.00/0.12 inter s: {1,2} p: 4 0.00/0.12 empty s: [] p: 2 0.00/0.12 #inter s: {1,2} p: 4 0.00/0.12 #union s: {} p: 0 0.00/0.12 USABLE RULES: { 1 2 6..11 } 0.00/0.12 Removed DPs: #6 #9 #10 0.00/0.12 Number of SCCs: 1, DPs: 1 0.00/0.12 SCC { #5 } 0.00/0.12 only weak rules. 0.00/0.12 Number of SCCs: 0, DPs: 0 0.00/0.12 Next Dependency Pairs: 0.00/0.12 #11: #union(union(empty(),x),_1) -> #union(x,_1) 0.00/0.12 #12: #inter(inter(singl(x),singl(y)),_1) -> #inter(if(eq(x,y),singl(x),empty()),_1) 0.00/0.12 #13: #union(x,union(y,z)) ->= #union(union(x,y),z) 0.00/0.12 #14: #union(x,union(y,z)) ->= #union(x,y) 0.00/0.12 #15: #inter(inter(empty(),x),_1) -> #inter(empty(),_1) 0.00/0.12 #16: #inter(x,inter(y,z)) ->= #inter(inter(x,y),z) 0.00/0.12 #17: #inter(x,inter(y,z)) ->= #inter(x,y) 0.00/0.12 #18: #inter(inter(union(y,z),x),_1) -> #inter(union(inter(x,y),inter(x,z)),_1) 0.00/0.12 Number of SCCs: 2, DPs: 8 0.00/0.12 SCC { #11 #13 #14 } 0.00/0.12 POLO(Sum)... succeeded. 0.00/0.12 s w: 1 0.00/0.12 eq w: x1 + x2 + 1 0.00/0.12 false w: 4 0.00/0.12 true w: 4 0.00/0.12 #eq w: 0 0.00/0.12 if w: x2 + x3 0.00/0.12 0 w: 1 0.00/0.12 union w: x1 + x2 + 1 0.00/0.12 singl w: x1 + 1 0.00/0.12 #if w: 0 0.00/0.12 inter w: x1 + x2 + 1 0.00/0.12 empty w: 1 0.00/0.12 #inter w: 0 0.00/0.12 #union w: x1 + x2 0.00/0.12 USABLE RULES: { 1 2 6 11 } 0.00/0.12 Removed DPs: #11 #14
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