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TRS_Innermost 2019-03-28 22.12 pair #432271443
details
property
value
status
complete
benchmark
#4.30.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n019.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
204.435 seconds
cpu usage
203.746
user time
183.434
system time
20.3113
max virtual memory
709324.0
max residence set size
6636.0
stage attributes
key
value
starexec-result
YES
output
203.64/204.41 YES 203.64/204.41 203.64/204.41 Problem 1: 203.64/204.41 203.64/204.41 (VAR v_NonEmpty:S x:S y:S) 203.64/204.41 (RULES 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 ) 203.64/204.41 (STRATEGY INNERMOST) 203.64/204.41 203.64/204.41 Problem 1: 203.64/204.41 203.64/204.41 Dependency Pairs Processor: 203.64/204.41 -> Pairs: 203.64/204.41 IF_QUOT(ttrue,x:S,y:S) -> MINUS(x:S,y:S) 203.64/204.41 IF_QUOT(ttrue,x:S,y:S) -> QUOT(minus(x:S,y:S),y:S) 203.64/204.41 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 203.64/204.41 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 203.64/204.41 QUOT(x:S,s(y:S)) -> IF_QUOT(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 QUOT(x:S,s(y:S)) -> LE(s(y:S),x:S) 203.64/204.41 -> Rules: 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 203.64/204.41 Problem 1: 203.64/204.41 203.64/204.41 SCC Processor: 203.64/204.41 -> Pairs: 203.64/204.41 IF_QUOT(ttrue,x:S,y:S) -> MINUS(x:S,y:S) 203.64/204.41 IF_QUOT(ttrue,x:S,y:S) -> QUOT(minus(x:S,y:S),y:S) 203.64/204.41 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 203.64/204.41 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 203.64/204.41 QUOT(x:S,s(y:S)) -> IF_QUOT(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 QUOT(x:S,s(y:S)) -> LE(s(y:S),x:S) 203.64/204.41 -> Rules: 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 ->Strongly Connected Components: 203.64/204.41 ->->Cycle: 203.64/204.41 ->->-> Pairs: 203.64/204.41 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 203.64/204.41 ->->-> Rules: 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 ->->Cycle: 203.64/204.41 ->->-> Pairs: 203.64/204.41 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 203.64/204.41 ->->-> Rules: 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 ->->Cycle: 203.64/204.41 ->->-> Pairs: 203.64/204.41 IF_QUOT(ttrue,x:S,y:S) -> QUOT(minus(x:S,y:S),y:S) 203.64/204.41 QUOT(x:S,s(y:S)) -> IF_QUOT(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 ->->-> Rules: 203.64/204.41 if_quot(ffalse,x:S,y:S) -> 0 203.64/204.41 if_quot(ttrue,x:S,y:S) -> s(quot(minus(x:S,y:S),y:S)) 203.64/204.41 le(0,y:S) -> ttrue 203.64/204.41 le(s(x:S),0) -> ffalse 203.64/204.41 le(s(x:S),s(y:S)) -> le(x:S,y:S) 203.64/204.41 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 203.64/204.41 minus(x:S,0) -> x:S 203.64/204.41 quot(x:S,s(y:S)) -> if_quot(le(s(y:S),x:S),x:S,s(y:S)) 203.64/204.41 203.64/204.41 203.64/204.41 The problem is decomposed in 3 subproblems. 203.64/204.41 203.64/204.41 Problem 1.1: 203.64/204.41
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