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TRS_Innermost 2019-03-28 22.12 pair #432270751
details
property
value
status
complete
benchmark
wiehe14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.00768 seconds
cpu usage
0.502231
user time
0.386662
system time
0.115569
max virtual memory
453896.0
max residence set size
9308.0
stage attributes
key
value
starexec-result
YES
output
0.41/0.99 YES 0.41/0.99 0.41/0.99 Problem 1: 0.41/0.99 0.41/0.99 (VAR v_NonEmpty:S x:S y:S) 0.41/0.99 (RULES 0.41/0.99 even(0) -> ttrue 0.41/0.99 even(s(0)) -> ffalse 0.41/0.99 even(s(s(x:S))) -> even(x:S) 0.41/0.99 gt(s(x:S),s(y:S)) -> gt(x:S,y:S) 0.41/0.99 gt(s(x:S),zero) -> ttrue 0.41/0.99 gt(zero,y:S) -> ffalse 0.41/0.99 half(0) -> 0 0.41/0.99 half(s(s(x:S))) -> s(half(x:S)) 0.41/0.99 id(x:S) -> x:S 0.41/0.99 if(ffalse,x:S,y:S) -> y:S 0.41/0.99 if(ttrue,x:S,y:S) -> x:S 0.41/0.99 if_times(ffalse,s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) 0.41/0.99 if_times(ttrue,s(x:S),y:S) -> plus(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) 0.41/0.99 not(x:S) -> if(x:S,ffalse,ttrue) 0.41/0.99 plus(id(x:S),s(y:S)) -> s(plus(x:S,if(gt(s(y:S),y:S),y:S,s(y:S)))) 0.41/0.99 plus(s(x:S),s(y:S)) -> s(s(plus(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))))) 0.41/0.99 plus(s(x:S),x:S) -> plus(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) 0.41/0.99 plus(zero,y:S) -> y:S 0.41/0.99 times(0,y:S) -> 0 0.41/0.99 times(s(x:S),y:S) -> if_times(even(s(x:S)),s(x:S),y:S) 0.41/0.99 ) 0.41/0.99 (STRATEGY INNERMOST) 0.41/0.99 0.41/0.99 Problem 1: 0.41/0.99 0.41/0.99 Dependency Pairs Processor: 0.41/0.99 -> Pairs: 0.41/0.99 EVEN(s(s(x:S))) -> EVEN(x:S) 0.41/0.99 GT(s(x:S),s(y:S)) -> GT(x:S,y:S) 0.41/0.99 HALF(s(s(x:S))) -> HALF(x:S) 0.41/0.99 IF_TIMES(ffalse,s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) 0.41/0.99 IF_TIMES(ffalse,s(x:S),y:S) -> TIMES(x:S,y:S) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> HALF(s(x:S)) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> PLUS(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> TIMES(half(s(x:S)),y:S) 0.41/0.99 NOT(x:S) -> IF(x:S,ffalse,ttrue) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> GT(x:S,y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> ID(x:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> ID(y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> IF(gt(x:S,y:S),x:S,y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> IF(not(gt(x:S,y:S)),id(x:S),id(y:S)) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> NOT(gt(x:S,y:S)) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> PLUS(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))) 0.41/0.99 PLUS(s(x:S),x:S) -> GT(x:S,x:S) 0.41/0.99 PLUS(s(x:S),x:S) -> ID(x:S) 0.41/0.99 PLUS(s(x:S),x:S) -> IF(gt(x:S,x:S),id(x:S),id(x:S)) 0.41/0.99 PLUS(s(x:S),x:S) -> PLUS(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) 0.41/0.99 TIMES(s(x:S),y:S) -> EVEN(s(x:S)) 0.41/0.99 TIMES(s(x:S),y:S) -> IF_TIMES(even(s(x:S)),s(x:S),y:S) 0.41/0.99 -> Rules: 0.41/0.99 even(0) -> ttrue 0.41/0.99 even(s(0)) -> ffalse 0.41/0.99 even(s(s(x:S))) -> even(x:S) 0.41/0.99 gt(s(x:S),s(y:S)) -> gt(x:S,y:S) 0.41/0.99 gt(s(x:S),zero) -> ttrue 0.41/0.99 gt(zero,y:S) -> ffalse 0.41/0.99 half(0) -> 0 0.41/0.99 half(s(s(x:S))) -> s(half(x:S)) 0.41/0.99 id(x:S) -> x:S 0.41/0.99 if(ffalse,x:S,y:S) -> y:S 0.41/0.99 if(ttrue,x:S,y:S) -> x:S 0.41/0.99 if_times(ffalse,s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) 0.41/0.99 if_times(ttrue,s(x:S),y:S) -> plus(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) 0.41/0.99 not(x:S) -> if(x:S,ffalse,ttrue) 0.41/0.99 plus(id(x:S),s(y:S)) -> s(plus(x:S,if(gt(s(y:S),y:S),y:S,s(y:S)))) 0.41/0.99 plus(s(x:S),s(y:S)) -> s(s(plus(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))))) 0.41/0.99 plus(s(x:S),x:S) -> plus(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) 0.41/0.99 plus(zero,y:S) -> y:S 0.41/0.99 times(0,y:S) -> 0 0.41/0.99 times(s(x:S),y:S) -> if_times(even(s(x:S)),s(x:S),y:S) 0.41/0.99 0.41/0.99 Problem 1: 0.41/0.99 0.41/0.99 SCC Processor: 0.41/0.99 -> Pairs: 0.41/0.99 EVEN(s(s(x:S))) -> EVEN(x:S) 0.41/0.99 GT(s(x:S),s(y:S)) -> GT(x:S,y:S) 0.41/0.99 HALF(s(s(x:S))) -> HALF(x:S) 0.41/0.99 IF_TIMES(ffalse,s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) 0.41/0.99 IF_TIMES(ffalse,s(x:S),y:S) -> TIMES(x:S,y:S) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> HALF(s(x:S)) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> PLUS(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) 0.41/0.99 IF_TIMES(ttrue,s(x:S),y:S) -> TIMES(half(s(x:S)),y:S) 0.41/0.99 NOT(x:S) -> IF(x:S,ffalse,ttrue) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> GT(x:S,y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> ID(x:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> ID(y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> IF(gt(x:S,y:S),x:S,y:S) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> IF(not(gt(x:S,y:S)),id(x:S),id(y:S)) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> NOT(gt(x:S,y:S)) 0.41/0.99 PLUS(s(x:S),s(y:S)) -> PLUS(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))) 0.41/0.99 PLUS(s(x:S),x:S) -> GT(x:S,x:S) 0.41/0.99 PLUS(s(x:S),x:S) -> ID(x:S) 0.41/0.99 PLUS(s(x:S),x:S) -> IF(gt(x:S,x:S),id(x:S),id(x:S))
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