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TRS Standard pair #516963871
details
property
value
status
complete
benchmark
JFP_Ex51.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.223832130432 seconds
cpu usage
0.157519801
max memory
6361088.0
stage attributes
key
value
output-size
21714
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 v_NonEmpty:S x:S y:S z:S) (RULES div_active(0,s(y:S)) -> 0 div_active(s(x:S),s(y:S)) -> if_active(ge_active(x:S,y:S),s(div(minus(x:S,y:S),s(y:S))),0) div_active(x:S,y:S) -> div(x:S,y:S) ge_active(0,s(y:S)) -> ffalse ge_active(s(x:S),s(y:S)) -> ge_active(x:S,y:S) ge_active(x:S,0) -> ttrue ge_active(x:S,y:S) -> ge(x:S,y:S) if_active(ffalse,x:S,y:S) -> mark(y:S) if_active(ttrue,x:S,y:S) -> mark(x:S) if_active(x:S,y:S,z:S) -> if(x:S,y:S,z:S) mark(0) -> 0 mark(div(x:S,y:S)) -> div_active(mark(x:S),y:S) mark(ge(x:S,y:S)) -> ge_active(x:S,y:S) mark(if(x:S,y:S,z:S)) -> if_active(mark(x:S),y:S,z:S) mark(minus(x:S,y:S)) -> minus_active(x:S,y:S) mark(s(x:S)) -> s(mark(x:S)) minus_active(0,y:S) -> 0 minus_active(s(x:S),s(y:S)) -> minus_active(x:S,y:S) minus_active(x:S,y:S) -> minus(x:S,y:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: DIV_ACTIVE(s(x:S),s(y:S)) -> GE_ACTIVE(x:S,y:S) DIV_ACTIVE(s(x:S),s(y:S)) -> IF_ACTIVE(ge_active(x:S,y:S),s(div(minus(x:S,y:S),s(y:S))),0) GE_ACTIVE(s(x:S),s(y:S)) -> GE_ACTIVE(x:S,y:S) IF_ACTIVE(ffalse,x:S,y:S) -> MARK(y:S) IF_ACTIVE(ttrue,x:S,y:S) -> MARK(x:S) MARK(div(x:S,y:S)) -> DIV_ACTIVE(mark(x:S),y:S) MARK(div(x:S,y:S)) -> MARK(x:S) MARK(ge(x:S,y:S)) -> GE_ACTIVE(x:S,y:S) MARK(if(x:S,y:S,z:S)) -> IF_ACTIVE(mark(x:S),y:S,z:S) MARK(if(x:S,y:S,z:S)) -> MARK(x:S) MARK(minus(x:S,y:S)) -> MINUS_ACTIVE(x:S,y:S) MARK(s(x:S)) -> MARK(x:S) MINUS_ACTIVE(s(x:S),s(y:S)) -> MINUS_ACTIVE(x:S,y:S) -> Rules: div_active(0,s(y:S)) -> 0 div_active(s(x:S),s(y:S)) -> if_active(ge_active(x:S,y:S),s(div(minus(x:S,y:S),s(y:S))),0) div_active(x:S,y:S) -> div(x:S,y:S) ge_active(0,s(y:S)) -> ffalse ge_active(s(x:S),s(y:S)) -> ge_active(x:S,y:S) ge_active(x:S,0) -> ttrue ge_active(x:S,y:S) -> ge(x:S,y:S) if_active(ffalse,x:S,y:S) -> mark(y:S) if_active(ttrue,x:S,y:S) -> mark(x:S) if_active(x:S,y:S,z:S) -> if(x:S,y:S,z:S) mark(0) -> 0 mark(div(x:S,y:S)) -> div_active(mark(x:S),y:S) mark(ge(x:S,y:S)) -> ge_active(x:S,y:S) mark(if(x:S,y:S,z:S)) -> if_active(mark(x:S),y:S,z:S) mark(minus(x:S,y:S)) -> minus_active(x:S,y:S) mark(s(x:S)) -> s(mark(x:S)) minus_active(0,y:S) -> 0 minus_active(s(x:S),s(y:S)) -> minus_active(x:S,y:S) minus_active(x:S,y:S) -> minus(x:S,y:S) Problem 1: SCC Processor: -> Pairs: DIV_ACTIVE(s(x:S),s(y:S)) -> GE_ACTIVE(x:S,y:S) DIV_ACTIVE(s(x:S),s(y:S)) -> IF_ACTIVE(ge_active(x:S,y:S),s(div(minus(x:S,y:S),s(y:S))),0) GE_ACTIVE(s(x:S),s(y:S)) -> GE_ACTIVE(x:S,y:S) IF_ACTIVE(ffalse,x:S,y:S) -> MARK(y:S) IF_ACTIVE(ttrue,x:S,y:S) -> MARK(x:S) MARK(div(x:S,y:S)) -> DIV_ACTIVE(mark(x:S),y:S) MARK(div(x:S,y:S)) -> MARK(x:S) MARK(ge(x:S,y:S)) -> GE_ACTIVE(x:S,y:S) MARK(if(x:S,y:S,z:S)) -> IF_ACTIVE(mark(x:S),y:S,z:S) MARK(if(x:S,y:S,z:S)) -> MARK(x:S) MARK(minus(x:S,y:S)) -> MINUS_ACTIVE(x:S,y:S) MARK(s(x:S)) -> MARK(x:S) MINUS_ACTIVE(s(x:S),s(y:S)) -> MINUS_ACTIVE(x:S,y:S) -> Rules: div_active(0,s(y:S)) -> 0 div_active(s(x:S),s(y:S)) -> if_active(ge_active(x:S,y:S),s(div(minus(x:S,y:S),s(y:S))),0) div_active(x:S,y:S) -> div(x:S,y:S) ge_active(0,s(y:S)) -> ffalse ge_active(s(x:S),s(y:S)) -> ge_active(x:S,y:S) ge_active(x:S,0) -> ttrue ge_active(x:S,y:S) -> ge(x:S,y:S) if_active(ffalse,x:S,y:S) -> mark(y:S) if_active(ttrue,x:S,y:S) -> mark(x:S) if_active(x:S,y:S,z:S) -> if(x:S,y:S,z:S) mark(0) -> 0
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