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TRS Stand 20472 pair #381711434
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
n107.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
2.52546286583 seconds
cpu usage
2.421383204
max memory
9281536.0
stage attributes
key
value
output-size
9370
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 if_mod(false,s(x),s(y)) -> s(x) if_mod(true,x,y) -> mod(minus(x,y),y) le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(s(x),s(y)) -> minus(x,y) minus(x,0) -> x mod(0,y) -> 0 mod(s(x),0) -> 0 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) ) Problem 1: Innermost Equivalent Processor: -> Rules: if_mod(false,s(x),s(y)) -> s(x) if_mod(true,x,y) -> mod(minus(x,y),y) le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(s(x),s(y)) -> minus(x,y) minus(x,0) -> x mod(0,y) -> 0 mod(s(x),0) -> 0 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: IF_MOD(true,x,y) -> MINUS(x,y) IF_MOD(true,x,y) -> MOD(minus(x,y),y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) MOD(s(x),s(y)) -> IF_MOD(le(y,x),s(x),s(y)) MOD(s(x),s(y)) -> LE(y,x) -> Rules: if_mod(false,s(x),s(y)) -> s(x) if_mod(true,x,y) -> mod(minus(x,y),y) le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(s(x),s(y)) -> minus(x,y) minus(x,0) -> x mod(0,y) -> 0 mod(s(x),0) -> 0 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) Problem 1: SCC Processor: -> Pairs: IF_MOD(true,x,y) -> MINUS(x,y) IF_MOD(true,x,y) -> MOD(minus(x,y),y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) MOD(s(x),s(y)) -> IF_MOD(le(y,x),s(x),s(y)) MOD(s(x),s(y)) -> LE(y,x) -> Rules: if_mod(false,s(x),s(y)) -> s(x) if_mod(true,x,y) -> mod(minus(x,y),y) le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(s(x),s(y)) -> minus(x,y) minus(x,0) -> x mod(0,y) -> 0 mod(s(x),0) -> 0 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(s(x),s(y)) -> MINUS(x,y) ->->-> Rules: if_mod(false,s(x),s(y)) -> s(x) if_mod(true,x,y) -> mod(minus(x,y),y) le(0,y) -> true le(s(x),0) -> false le(s(x),s(y)) -> le(x,y) minus(s(x),s(y)) -> minus(x,y) minus(x,0) -> x mod(0,y) -> 0 mod(s(x),0) -> 0 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) ->->Cycle:
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