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TRS Inner 89993 pair #381733648
details
property
value
status
complete
benchmark
#4.30.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
4.3592710495 seconds
cpu usage
4.162321044
max memory
1.0514432E7
stage attributes
key
value
output-size
8370
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_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: IF_QUOT(true,x,y) -> MINUS(x,y) IF_QUOT(true,x,y) -> QUOT(minus(x,y),y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) QUOT(x,s(y)) -> IF_QUOT(le(s(y),x),x,s(y)) QUOT(x,s(y)) -> LE(s(y),x) -> Rules: if_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y)) Problem 1: SCC Processor: -> Pairs: IF_QUOT(true,x,y) -> MINUS(x,y) IF_QUOT(true,x,y) -> QUOT(minus(x,y),y) LE(s(x),s(y)) -> LE(x,y) MINUS(s(x),s(y)) -> MINUS(x,y) QUOT(x,s(y)) -> IF_QUOT(le(s(y),x),x,s(y)) QUOT(x,s(y)) -> LE(s(y),x) -> Rules: if_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(s(x),s(y)) -> MINUS(x,y) ->->-> Rules: if_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y)) ->->Cycle: ->->-> Pairs: LE(s(x),s(y)) -> LE(x,y) ->->-> Rules: if_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y)) ->->Cycle: ->->-> Pairs: IF_QUOT(true,x,y) -> QUOT(minus(x,y),y) QUOT(x,s(y)) -> IF_QUOT(le(s(y),x),x,s(y)) ->->-> Rules: if_quot(false,x,y) -> 0 if_quot(true,x,y) -> s(quot(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 quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y))
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