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TRS Standard pair #487074064
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
n178.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0870191 seconds
cpu usage
0.092265
user time
0.051548
system time
0.040717
max virtual memory
113188.0
max residence set size
9268.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S l:S l1:S l2:S l3:S x:S y:S) (RULES app(app(l1:S,l2:S),l3:S) -> app(l1:S,app(l2:S,l3:S)) app(cons(x:S,l1:S),l2:S) -> cons(x:S,app(l1:S,l2:S)) app(nil,l:S) -> l:S eq(0,0) -> ttrue eq(0,s(x:S)) -> ffalse eq(s(x:S),0) -> ffalse eq(s(x:S),s(y:S)) -> eq(x:S,y:S) if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S ifinter(ffalse,x:S,l1:S,l2:S) -> inter(l1:S,l2:S) ifinter(ttrue,x:S,l1:S,l2:S) -> cons(x:S,inter(l1:S,l2:S)) ifmem(ffalse,x:S,l:S) -> mem(x:S,l:S) ifmem(ttrue,x:S,l:S) -> ttrue inter(app(l1:S,l2:S),l3:S) -> app(inter(l1:S,l3:S),inter(l2:S,l3:S)) inter(cons(x:S,l1:S),l2:S) -> ifinter(mem(x:S,l2:S),x:S,l1:S,l2:S) inter(nil,x:S) -> nil inter(l1:S,app(l2:S,l3:S)) -> app(inter(l1:S,l2:S),inter(l1:S,l3:S)) inter(l1:S,cons(x:S,l2:S)) -> ifinter(mem(x:S,l1:S),x:S,l2:S,l1:S) inter(x:S,nil) -> nil mem(x:S,cons(y:S,l:S)) -> ifmem(eq(x:S,y:S),x:S,l:S) mem(x:S,nil) -> ffalse ) Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(l1:S,l2:S),l3:S) -> APP(l1:S,app(l2:S,l3:S)) APP(app(l1:S,l2:S),l3:S) -> APP(l2:S,l3:S) APP(cons(x:S,l1:S),l2:S) -> APP(l1:S,l2:S) EQ(s(x:S),s(y:S)) -> EQ(x:S,y:S) IFINTER(ffalse,x:S,l1:S,l2:S) -> INTER(l1:S,l2:S) IFINTER(ttrue,x:S,l1:S,l2:S) -> INTER(l1:S,l2:S) IFMEM(ffalse,x:S,l:S) -> MEM(x:S,l:S) INTER(app(l1:S,l2:S),l3:S) -> APP(inter(l1:S,l3:S),inter(l2:S,l3:S)) INTER(app(l1:S,l2:S),l3:S) -> INTER(l1:S,l3:S) INTER(app(l1:S,l2:S),l3:S) -> INTER(l2:S,l3:S) INTER(cons(x:S,l1:S),l2:S) -> IFINTER(mem(x:S,l2:S),x:S,l1:S,l2:S) INTER(cons(x:S,l1:S),l2:S) -> MEM(x:S,l2:S) INTER(l1:S,app(l2:S,l3:S)) -> APP(inter(l1:S,l2:S),inter(l1:S,l3:S)) INTER(l1:S,app(l2:S,l3:S)) -> INTER(l1:S,l2:S) INTER(l1:S,app(l2:S,l3:S)) -> INTER(l1:S,l3:S) INTER(l1:S,cons(x:S,l2:S)) -> IFINTER(mem(x:S,l1:S),x:S,l2:S,l1:S) INTER(l1:S,cons(x:S,l2:S)) -> MEM(x:S,l1:S) MEM(x:S,cons(y:S,l:S)) -> EQ(x:S,y:S) MEM(x:S,cons(y:S,l:S)) -> IFMEM(eq(x:S,y:S),x:S,l:S) -> Rules: app(app(l1:S,l2:S),l3:S) -> app(l1:S,app(l2:S,l3:S)) app(cons(x:S,l1:S),l2:S) -> cons(x:S,app(l1:S,l2:S)) app(nil,l:S) -> l:S eq(0,0) -> ttrue eq(0,s(x:S)) -> ffalse eq(s(x:S),0) -> ffalse eq(s(x:S),s(y:S)) -> eq(x:S,y:S) if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S ifinter(ffalse,x:S,l1:S,l2:S) -> inter(l1:S,l2:S) ifinter(ttrue,x:S,l1:S,l2:S) -> cons(x:S,inter(l1:S,l2:S)) ifmem(ffalse,x:S,l:S) -> mem(x:S,l:S) ifmem(ttrue,x:S,l:S) -> ttrue inter(app(l1:S,l2:S),l3:S) -> app(inter(l1:S,l3:S),inter(l2:S,l3:S)) inter(cons(x:S,l1:S),l2:S) -> ifinter(mem(x:S,l2:S),x:S,l1:S,l2:S) inter(nil,x:S) -> nil inter(l1:S,app(l2:S,l3:S)) -> app(inter(l1:S,l2:S),inter(l1:S,l3:S)) inter(l1:S,cons(x:S,l2:S)) -> ifinter(mem(x:S,l1:S),x:S,l2:S,l1:S) inter(x:S,nil) -> nil mem(x:S,cons(y:S,l:S)) -> ifmem(eq(x:S,y:S),x:S,l:S) mem(x:S,nil) -> ffalse Problem 1: SCC Processor: -> Pairs: APP(app(l1:S,l2:S),l3:S) -> APP(l1:S,app(l2:S,l3:S)) APP(app(l1:S,l2:S),l3:S) -> APP(l2:S,l3:S) APP(cons(x:S,l1:S),l2:S) -> APP(l1:S,l2:S) EQ(s(x:S),s(y:S)) -> EQ(x:S,y:S) IFINTER(ffalse,x:S,l1:S,l2:S) -> INTER(l1:S,l2:S) IFINTER(ttrue,x:S,l1:S,l2:S) -> INTER(l1:S,l2:S) IFMEM(ffalse,x:S,l:S) -> MEM(x:S,l:S) INTER(app(l1:S,l2:S),l3:S) -> APP(inter(l1:S,l3:S),inter(l2:S,l3:S)) INTER(app(l1:S,l2:S),l3:S) -> INTER(l1:S,l3:S) INTER(app(l1:S,l2:S),l3:S) -> INTER(l2:S,l3:S) INTER(cons(x:S,l1:S),l2:S) -> IFINTER(mem(x:S,l2:S),x:S,l1:S,l2:S) INTER(cons(x:S,l1:S),l2:S) -> MEM(x:S,l2:S) INTER(l1:S,app(l2:S,l3:S)) -> APP(inter(l1:S,l2:S),inter(l1:S,l3:S)) INTER(l1:S,app(l2:S,l3:S)) -> INTER(l1:S,l2:S) INTER(l1:S,app(l2:S,l3:S)) -> INTER(l1:S,l3:S) INTER(l1:S,cons(x:S,l2:S)) -> IFINTER(mem(x:S,l1:S),x:S,l2:S,l1:S) INTER(l1:S,cons(x:S,l2:S)) -> MEM(x:S,l1:S) MEM(x:S,cons(y:S,l:S)) -> EQ(x:S,y:S) MEM(x:S,cons(y:S,l:S)) -> IFMEM(eq(x:S,y:S),x:S,l:S) -> Rules: app(app(l1:S,l2:S),l3:S) -> app(l1:S,app(l2:S,l3:S))
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