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TRS Stand 20472 pair #381713388
details
property
value
status
complete
benchmark
perfect2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0371041297913 seconds
cpu usage
0.035546227
max memory
3424256.0
stage attributes
key
value
output-size
9388
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 u x y z) (RULES f(0,y,0,u) -> true f(0,y,s(z),u) -> false f(s(x),0,z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) if(false,x,y) -> y if(true,x,y) -> x le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),0) -> s(x) minus(s(x),s(y)) -> minus(x,y) perfectp(0) -> false perfectp(s(x)) -> f(x,s(0),s(x),s(x)) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0,y,0,u) -> true f(0,y,s(z),u) -> false f(s(x),0,z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) if(false,x,y) -> y if(true,x,y) -> x le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),0) -> s(x) minus(s(x),s(y)) -> minus(x,y) perfectp(0) -> false perfectp(s(x)) -> f(x,s(0),s(x),s(x)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(s(x),0,z,u) -> F(x,u,minus(z,s(x)),u) F(s(x),0,z,u) -> MINUS(z,s(x)) F(s(x),s(y),z,u) -> F(s(x),minus(y,x),z,u) F(s(x),s(y),z,u) -> F(x,u,z,u) F(s(x),s(y),z,u) -> IF(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) F(s(x),s(y),z,u) -> LE(x,y) F(s(x),s(y),z,u) -> MINUS(y,x) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) PERFECTP(s(x)) -> F(x,s(0),s(x),s(x)) -> Rules: f(0,y,0,u) -> true f(0,y,s(z),u) -> false f(s(x),0,z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) if(false,x,y) -> y if(true,x,y) -> x le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(0,y) -> 0 minus(s(x),0) -> s(x) minus(s(x),s(y)) -> minus(x,y) perfectp(0) -> false perfectp(s(x)) -> f(x,s(0),s(x),s(x)) Problem 1: SCC Processor: -> Pairs: F(s(x),0,z,u) -> F(x,u,minus(z,s(x)),u) F(s(x),0,z,u) -> MINUS(z,s(x)) F(s(x),s(y),z,u) -> F(s(x),minus(y,x),z,u) F(s(x),s(y),z,u) -> F(x,u,z,u) F(s(x),s(y),z,u) -> IF(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) F(s(x),s(y),z,u) -> LE(x,y) F(s(x),s(y),z,u) -> MINUS(y,x) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) PERFECTP(s(x)) -> F(x,s(0),s(x),s(x)) -> Rules: f(0,y,0,u) -> true f(0,y,s(z),u) -> false f(s(x),0,z,u) -> f(x,u,minus(z,s(x)),u) f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) if(false,x,y) -> y if(true,x,y) -> x
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