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TRS Equational pair #487092855
details
property
value
status
complete
benchmark
AC45.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.289517 seconds
cpu usage
0.252013
user time
0.135733
system time
0.11628
max virtual memory
113188.0
max residence set size
4984.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR m n x y) (THEORY (C eq)) (RULES eq(0,0) -> true eq(0,s(x)) -> false eq(s(x),0) -> false eq(s(x),s(y)) -> eq(x,y) if_rm(false,n,add(m,x)) -> add(m,rm(n,x)) if_rm(true,n,add(m,x)) -> rm(n,x) purge(add(n,x)) -> add(n,purge(rm(n,x))) purge(nil) -> nil rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) rm(n,nil) -> nil ) Problem 1: Dependency Pairs Processor: -> FAxioms: EQ(x4,x5) = EQ(x5,x4) -> Pairs: EQ(s(x),s(y)) -> EQ(x,y) IF_RM(false,n,add(m,x)) -> RM(n,x) IF_RM(true,n,add(m,x)) -> RM(n,x) PURGE(add(n,x)) -> PURGE(rm(n,x)) PURGE(add(n,x)) -> RM(n,x) RM(n,add(m,x)) -> EQ(n,m) RM(n,add(m,x)) -> IF_RM(eq(n,m),n,add(m,x)) -> EAxioms: eq(x4,x5) = eq(x5,x4) -> Rules: eq(0,0) -> true eq(0,s(x)) -> false eq(s(x),0) -> false eq(s(x),s(y)) -> eq(x,y) if_rm(false,n,add(m,x)) -> add(m,rm(n,x)) if_rm(true,n,add(m,x)) -> rm(n,x) purge(add(n,x)) -> add(n,purge(rm(n,x))) purge(nil) -> nil rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) rm(n,nil) -> nil -> SRules: Empty Problem 1: SCC Processor: -> FAxioms: EQ(x4,x5) = EQ(x5,x4) -> Pairs: EQ(s(x),s(y)) -> EQ(x,y) IF_RM(false,n,add(m,x)) -> RM(n,x) IF_RM(true,n,add(m,x)) -> RM(n,x) PURGE(add(n,x)) -> PURGE(rm(n,x)) PURGE(add(n,x)) -> RM(n,x) RM(n,add(m,x)) -> EQ(n,m) RM(n,add(m,x)) -> IF_RM(eq(n,m),n,add(m,x)) -> EAxioms: eq(x4,x5) = eq(x5,x4) -> Rules: eq(0,0) -> true eq(0,s(x)) -> false eq(s(x),0) -> false eq(s(x),s(y)) -> eq(x,y) if_rm(false,n,add(m,x)) -> add(m,rm(n,x)) if_rm(true,n,add(m,x)) -> rm(n,x) purge(add(n,x)) -> add(n,purge(rm(n,x))) purge(nil) -> nil rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) rm(n,nil) -> nil -> SRules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: EQ(s(x),s(y)) -> EQ(x,y) -> FAxioms: eq(x4,x5) -> eq(x5,x4) EQ(x4,x5) -> EQ(x5,x4) -> EAxioms: eq(x4,x5) = eq(x5,x4) ->->-> Rules: eq(0,0) -> true eq(0,s(x)) -> false eq(s(x),0) -> false eq(s(x),s(y)) -> eq(x,y) if_rm(false,n,add(m,x)) -> add(m,rm(n,x)) if_rm(true,n,add(m,x)) -> rm(n,x) purge(add(n,x)) -> add(n,purge(rm(n,x))) purge(nil) -> nil rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) rm(n,nil) -> nil -> SRules: Empty ->->Cycle:
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