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TRS Inner 89993 pair #381733519
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
n008.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.463493108749 seconds
cpu usage
0.422240119
max memory
8687616.0
stage attributes
key
value
output-size
21937
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y) (RULES even(0) -> true even(s(0)) -> false even(s(s(x))) -> even(x) gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero) -> true gt(zero,y) -> false half(0) -> 0 half(s(s(x))) -> s(half(x)) id(x) -> x if(false,x,y) -> y if(true,x,y) -> x if_times(false,s(x),y) -> plus(y,times(x,y)) if_times(true,s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) not(x) -> if(x,false,true) plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero,y) -> y times(0,y) -> 0 times(s(x),y) -> if_times(even(s(x)),s(x),y) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: EVEN(s(s(x))) -> EVEN(x) GT(s(x),s(y)) -> GT(x,y) HALF(s(s(x))) -> HALF(x) IF_TIMES(false,s(x),y) -> PLUS(y,times(x,y)) IF_TIMES(false,s(x),y) -> TIMES(x,y) IF_TIMES(true,s(x),y) -> HALF(s(x)) IF_TIMES(true,s(x),y) -> PLUS(times(half(s(x)),y),times(half(s(x)),y)) IF_TIMES(true,s(x),y) -> TIMES(half(s(x)),y) NOT(x) -> IF(x,false,true) PLUS(s(x),s(y)) -> GT(x,y) PLUS(s(x),s(y)) -> ID(x) PLUS(s(x),s(y)) -> ID(y) PLUS(s(x),s(y)) -> IF(gt(x,y),x,y) PLUS(s(x),s(y)) -> IF(not(gt(x,y)),id(x),id(y)) PLUS(s(x),s(y)) -> NOT(gt(x,y)) PLUS(s(x),s(y)) -> PLUS(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) PLUS(s(x),x) -> GT(x,x) PLUS(s(x),x) -> ID(x) PLUS(s(x),x) -> IF(gt(x,x),id(x),id(x)) PLUS(s(x),x) -> PLUS(if(gt(x,x),id(x),id(x)),s(x)) TIMES(s(x),y) -> EVEN(s(x)) TIMES(s(x),y) -> IF_TIMES(even(s(x)),s(x),y) -> Rules: even(0) -> true even(s(0)) -> false even(s(s(x))) -> even(x) gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero) -> true gt(zero,y) -> false half(0) -> 0 half(s(s(x))) -> s(half(x)) id(x) -> x if(false,x,y) -> y if(true,x,y) -> x if_times(false,s(x),y) -> plus(y,times(x,y)) if_times(true,s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) not(x) -> if(x,false,true) plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero,y) -> y times(0,y) -> 0 times(s(x),y) -> if_times(even(s(x)),s(x),y) Problem 1: SCC Processor: -> Pairs: EVEN(s(s(x))) -> EVEN(x) GT(s(x),s(y)) -> GT(x,y) HALF(s(s(x))) -> HALF(x) IF_TIMES(false,s(x),y) -> PLUS(y,times(x,y)) IF_TIMES(false,s(x),y) -> TIMES(x,y) IF_TIMES(true,s(x),y) -> HALF(s(x)) IF_TIMES(true,s(x),y) -> PLUS(times(half(s(x)),y),times(half(s(x)),y)) IF_TIMES(true,s(x),y) -> TIMES(half(s(x)),y) NOT(x) -> IF(x,false,true) PLUS(s(x),s(y)) -> GT(x,y) PLUS(s(x),s(y)) -> ID(x) PLUS(s(x),s(y)) -> ID(y) PLUS(s(x),s(y)) -> IF(gt(x,y),x,y)
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