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TRS Stand 20472 pair #381711742
details
property
value
status
complete
benchmark
t001.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.300402879715 seconds
cpu usage
0.093294574
max memory
4042752.0
stage attributes
key
value
output-size
11980
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y z) (RULES *(x,0) -> 0 *(x,s(y)) -> +(*(x,y),x) -(s(x),s(y)) -> -(x,y) -(x,0) -> x f(x,0,z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) half(0) -> 0 half(s(0)) -> 0 half(s(s(x))) -> s(half(x)) if(false,x,y) -> false if(false,x,y) -> y if(true,x,y) -> true if(true,x,y) -> x odd(0) -> false odd(s(0)) -> true odd(s(s(x))) -> odd(x) pow(x,y) -> f(x,y,s(0)) ) Problem 1: Dependency Pairs Processor: -> Pairs: *#(x,s(y)) -> *#(x,y) -#(s(x),s(y)) -> -#(x,y) F(x,s(y),z) -> *#(x,x) F(x,s(y),z) -> *#(x,z) F(x,s(y),z) -> F(*(x,x),half(s(y)),z) F(x,s(y),z) -> F(x,y,*(x,z)) F(x,s(y),z) -> HALF(s(y)) F(x,s(y),z) -> IF(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) F(x,s(y),z) -> ODD(s(y)) HALF(s(s(x))) -> HALF(x) ODD(s(s(x))) -> ODD(x) POW(x,y) -> F(x,y,s(0)) -> Rules: *(x,0) -> 0 *(x,s(y)) -> +(*(x,y),x) -(s(x),s(y)) -> -(x,y) -(x,0) -> x f(x,0,z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) half(0) -> 0 half(s(0)) -> 0 half(s(s(x))) -> s(half(x)) if(false,x,y) -> false if(false,x,y) -> y if(true,x,y) -> true if(true,x,y) -> x odd(0) -> false odd(s(0)) -> true odd(s(s(x))) -> odd(x) pow(x,y) -> f(x,y,s(0)) Problem 1: SCC Processor: -> Pairs: *#(x,s(y)) -> *#(x,y) -#(s(x),s(y)) -> -#(x,y) F(x,s(y),z) -> *#(x,x) F(x,s(y),z) -> *#(x,z) F(x,s(y),z) -> F(*(x,x),half(s(y)),z) F(x,s(y),z) -> F(x,y,*(x,z)) F(x,s(y),z) -> HALF(s(y)) F(x,s(y),z) -> IF(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) F(x,s(y),z) -> ODD(s(y)) HALF(s(s(x))) -> HALF(x) ODD(s(s(x))) -> ODD(x) POW(x,y) -> F(x,y,s(0)) -> Rules: *(x,0) -> 0 *(x,s(y)) -> +(*(x,y),x) -(s(x),s(y)) -> -(x,y) -(x,0) -> x f(x,0,z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) half(0) -> 0 half(s(0)) -> 0 half(s(s(x))) -> s(half(x)) if(false,x,y) -> false if(false,x,y) -> y if(true,x,y) -> true if(true,x,y) -> x odd(0) -> false odd(s(0)) -> true odd(s(s(x))) -> odd(x) pow(x,y) -> f(x,y,s(0))
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