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TRS_Equational 2019-03-21 05.09 pair #429997313
details
property
value
status
complete
benchmark
YWHM14_4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n124.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.406961 seconds
cpu usage
0.408386
user time
0.275186
system time
0.1332
max virtual memory
113176.0
max residence set size
6460.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.40 YES 0.00/0.40 0.00/0.40 Problem 1: 0.00/0.40 0.00/0.40 (THEORY 0.00/0.40 (AC ac1 ac2)) 0.00/0.40 (RULES 0.00/0.40 ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) 0.00/0.40 ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) 0.00/0.40 ) 0.00/0.40 0.00/0.40 Problem 1: 0.00/0.40 0.00/0.40 Dependency Pairs Processor: 0.00/0.40 -> FAxioms: 0.00/0.40 AC1(ac1(x0,x1),x2) = AC1(x0,ac1(x1,x2)) 0.00/0.40 AC1(x0,x1) = AC1(x1,x0) 0.00/0.40 AC2(ac2(x0,x1),x2) = AC2(x0,ac2(x1,x2)) 0.00/0.40 AC2(x0,x1) = AC2(x1,x0) 0.00/0.40 -> Pairs: 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) 0.00/0.40 AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(a,ac2(b,c)) -> AC2(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) 0.00/0.40 AC2(a,ac1(b,c)) -> AC1(a,c) 0.00/0.40 AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) 0.00/0.40 -> EAxioms: 0.00/0.40 ac1(ac1(x0,x1),x2) = ac1(x0,ac1(x1,x2)) 0.00/0.40 ac1(x0,x1) = ac1(x1,x0) 0.00/0.40 ac2(ac2(x0,x1),x2) = ac2(x0,ac2(x1,x2)) 0.00/0.40 ac2(x0,x1) = ac2(x1,x0) 0.00/0.40 -> Rules: 0.00/0.40 ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) 0.00/0.40 ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) 0.00/0.40 -> SRules: 0.00/0.40 AC1(ac1(x0,x1),x2) -> AC1(x0,x1) 0.00/0.40 AC1(x0,ac1(x1,x2)) -> AC1(x1,x2) 0.00/0.40 AC2(ac2(x0,x1),x2) -> AC2(x0,x1) 0.00/0.40 AC2(x0,ac2(x1,x2)) -> AC2(x1,x2) 0.00/0.40 0.00/0.40 Problem 1: 0.00/0.40 0.00/0.40 SCC Processor: 0.00/0.40 -> FAxioms: 0.00/0.40 AC1(ac1(x0,x1),x2) = AC1(x0,ac1(x1,x2)) 0.00/0.40 AC1(x0,x1) = AC1(x1,x0) 0.00/0.40 AC2(ac2(x0,x1),x2) = AC2(x0,ac2(x1,x2)) 0.00/0.40 AC2(x0,x1) = AC2(x1,x0) 0.00/0.40 -> Pairs: 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) 0.00/0.40 AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(a,ac2(b,c)) -> AC2(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) 0.00/0.40 AC2(a,ac1(b,c)) -> AC1(a,c) 0.00/0.40 AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) 0.00/0.40 -> EAxioms: 0.00/0.40 ac1(ac1(x0,x1),x2) = ac1(x0,ac1(x1,x2)) 0.00/0.40 ac1(x0,x1) = ac1(x1,x0) 0.00/0.40 ac2(ac2(x0,x1),x2) = ac2(x0,ac2(x1,x2)) 0.00/0.40 ac2(x0,x1) = ac2(x1,x0) 0.00/0.40 -> Rules: 0.00/0.40 ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) 0.00/0.40 ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) 0.00/0.40 -> SRules: 0.00/0.40 AC1(ac1(x0,x1),x2) -> AC1(x0,x1) 0.00/0.40 AC1(x0,ac1(x1,x2)) -> AC1(x1,x2) 0.00/0.40 AC2(ac2(x0,x1),x2) -> AC2(x0,x1) 0.00/0.40 AC2(x0,ac2(x1,x2)) -> AC2(x1,x2) 0.00/0.40 ->Strongly Connected Components: 0.00/0.40 ->->Cycle: 0.00/0.40 ->->-> Pairs: 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) 0.00/0.40 AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) 0.00/0.40 AC1(a,ac2(b,c)) -> AC2(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) 0.00/0.40 AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) 0.00/0.40 AC2(a,ac1(b,c)) -> AC1(a,c) 0.00/0.40 AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) 0.00/0.40 -> FAxioms: 0.00/0.40 ac1(ac1(x0,x1),x2) -> ac1(x0,ac1(x1,x2)) 0.00/0.40 ac1(x0,x1) -> ac1(x1,x0) 0.00/0.40 ac2(ac2(x0,x1),x2) -> ac2(x0,ac2(x1,x2)) 0.00/0.40 ac2(x0,x1) -> ac2(x1,x0) 0.00/0.40 AC1(ac1(x0,x1),x2) -> AC1(x0,ac1(x1,x2)) 0.00/0.40 AC1(x0,x1) -> AC1(x1,x0) 0.00/0.40 AC2(ac2(x0,x1),x2) -> AC2(x0,ac2(x1,x2)) 0.00/0.40 AC2(x0,x1) -> AC2(x1,x0) 0.00/0.40 -> EAxioms: 0.00/0.40 ac1(ac1(x0,x1),x2) = ac1(x0,ac1(x1,x2))
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