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TRS_Innermost 2019-03-28 22.12 pair #432271409
details
property
value
status
complete
benchmark
#4.30b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
82.1668 seconds
cpu usage
81.8697
user time
73.173
system time
8.69668
max virtual memory
708544.0
max residence set size
6624.0
stage attributes
key
value
starexec-result
YES
output
81.83/82.14 YES 81.83/82.14 81.83/82.14 Problem 1: 81.83/82.14 81.83/82.14 (VAR v_NonEmpty:S x:S y:S) 81.83/82.14 (RULES 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse 81.83/82.14 le(s(x:S),s(y:S)) -> le(x:S,y:S) 81.83/82.14 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 81.83/82.14 minus(x:S,0) -> x:S 81.83/82.14 mod(0,y:S) -> 0 81.83/82.14 mod(s(x:S),0) -> 0 81.83/82.14 mod(s(x:S),s(y:S)) -> if_mod(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 ) 81.83/82.14 (STRATEGY INNERMOST) 81.83/82.14 81.83/82.14 Problem 1: 81.83/82.14 81.83/82.14 Dependency Pairs Processor: 81.83/82.14 -> Pairs: 81.83/82.14 IF_MOD(ttrue,x:S,y:S) -> MINUS(x:S,y:S) 81.83/82.14 IF_MOD(ttrue,x:S,y:S) -> MOD(minus(x:S,y:S),y:S) 81.83/82.14 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 81.83/82.14 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 81.83/82.14 MOD(s(x:S),s(y:S)) -> IF_MOD(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 MOD(s(x:S),s(y:S)) -> LE(y:S,x:S) 81.83/82.14 -> Rules: 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse 81.83/82.14 le(s(x:S),s(y:S)) -> le(x:S,y:S) 81.83/82.14 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 81.83/82.14 minus(x:S,0) -> x:S 81.83/82.14 mod(0,y:S) -> 0 81.83/82.14 mod(s(x:S),0) -> 0 81.83/82.14 mod(s(x:S),s(y:S)) -> if_mod(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 81.83/82.14 Problem 1: 81.83/82.14 81.83/82.14 SCC Processor: 81.83/82.14 -> Pairs: 81.83/82.14 IF_MOD(ttrue,x:S,y:S) -> MINUS(x:S,y:S) 81.83/82.14 IF_MOD(ttrue,x:S,y:S) -> MOD(minus(x:S,y:S),y:S) 81.83/82.14 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 81.83/82.14 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 81.83/82.14 MOD(s(x:S),s(y:S)) -> IF_MOD(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 MOD(s(x:S),s(y:S)) -> LE(y:S,x:S) 81.83/82.14 -> Rules: 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse 81.83/82.14 le(s(x:S),s(y:S)) -> le(x:S,y:S) 81.83/82.14 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 81.83/82.14 minus(x:S,0) -> x:S 81.83/82.14 mod(0,y:S) -> 0 81.83/82.14 mod(s(x:S),0) -> 0 81.83/82.14 mod(s(x:S),s(y:S)) -> if_mod(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 ->Strongly Connected Components: 81.83/82.14 ->->Cycle: 81.83/82.14 ->->-> Pairs: 81.83/82.14 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 81.83/82.14 ->->-> Rules: 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse 81.83/82.14 le(s(x:S),s(y:S)) -> le(x:S,y:S) 81.83/82.14 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 81.83/82.14 minus(x:S,0) -> x:S 81.83/82.14 mod(0,y:S) -> 0 81.83/82.14 mod(s(x:S),0) -> 0 81.83/82.14 mod(s(x:S),s(y:S)) -> if_mod(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 ->->Cycle: 81.83/82.14 ->->-> Pairs: 81.83/82.14 LE(s(x:S),s(y:S)) -> LE(x:S,y:S) 81.83/82.14 ->->-> Rules: 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse 81.83/82.14 le(s(x:S),s(y:S)) -> le(x:S,y:S) 81.83/82.14 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 81.83/82.14 minus(x:S,0) -> x:S 81.83/82.14 mod(0,y:S) -> 0 81.83/82.14 mod(s(x:S),0) -> 0 81.83/82.14 mod(s(x:S),s(y:S)) -> if_mod(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 ->->Cycle: 81.83/82.14 ->->-> Pairs: 81.83/82.14 IF_MOD(ttrue,x:S,y:S) -> MOD(minus(x:S,y:S),y:S) 81.83/82.14 MOD(s(x:S),s(y:S)) -> IF_MOD(le(y:S,x:S),s(x:S),s(y:S)) 81.83/82.14 ->->-> Rules: 81.83/82.14 if_mod(ffalse,s(x:S),s(y:S)) -> s(x:S) 81.83/82.14 if_mod(ttrue,x:S,y:S) -> mod(minus(x:S,y:S),y:S) 81.83/82.14 le(0,y:S) -> ttrue 81.83/82.14 le(s(x:S),0) -> ffalse
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