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TRS Standard pair #516961746
details
property
value
status
complete
benchmark
Ex49_GM04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.186720848083 seconds
cpu usage
0.171691896
max memory
6516736.0
stage attributes
key
value
output-size
21737
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 v_NonEmpty:S X:S X1:S X2:S X3:S Y:S) (RULES a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S) a__if(ffalse,X:S,Y:S) -> mark(Y:S) a__if(ttrue,X:S,Y:S) -> mark(X:S) a__if(X1:S,X2:S,X3:S) -> if(X1:S,X2:S,X3:S) a__minus(0,Y:S) -> 0 a__minus(s(X:S),s(Y:S)) -> a__minus(X:S,Y:S) a__minus(X1:S,X2:S) -> minus(X1:S,X2:S) mark(0) -> 0 mark(div(X1:S,X2:S)) -> a__div(mark(X1:S),X2:S) mark(ffalse) -> ffalse mark(geq(X1:S,X2:S)) -> a__geq(X1:S,X2:S) mark(if(X1:S,X2:S,X3:S)) -> a__if(mark(X1:S),X2:S,X3:S) mark(minus(X1:S,X2:S)) -> a__minus(X1:S,X2:S) mark(s(X:S)) -> s(mark(X:S)) mark(ttrue) -> ttrue ) Problem 1: Dependency Pairs Processor: -> Pairs: A__DIV(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__DIV(s(X:S),s(Y:S)) -> A__IF(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) A__GEQ(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__IF(ffalse,X:S,Y:S) -> MARK(Y:S) A__IF(ttrue,X:S,Y:S) -> MARK(X:S) A__MINUS(s(X:S),s(Y:S)) -> A__MINUS(X:S,Y:S) MARK(div(X1:S,X2:S)) -> A__DIV(mark(X1:S),X2:S) MARK(div(X1:S,X2:S)) -> MARK(X1:S) MARK(geq(X1:S,X2:S)) -> A__GEQ(X1:S,X2:S) MARK(if(X1:S,X2:S,X3:S)) -> A__IF(mark(X1:S),X2:S,X3:S) MARK(if(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(minus(X1:S,X2:S)) -> A__MINUS(X1:S,X2:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S) a__if(ffalse,X:S,Y:S) -> mark(Y:S) a__if(ttrue,X:S,Y:S) -> mark(X:S) a__if(X1:S,X2:S,X3:S) -> if(X1:S,X2:S,X3:S) a__minus(0,Y:S) -> 0 a__minus(s(X:S),s(Y:S)) -> a__minus(X:S,Y:S) a__minus(X1:S,X2:S) -> minus(X1:S,X2:S) mark(0) -> 0 mark(div(X1:S,X2:S)) -> a__div(mark(X1:S),X2:S) mark(ffalse) -> ffalse mark(geq(X1:S,X2:S)) -> a__geq(X1:S,X2:S) mark(if(X1:S,X2:S,X3:S)) -> a__if(mark(X1:S),X2:S,X3:S) mark(minus(X1:S,X2:S)) -> a__minus(X1:S,X2:S) mark(s(X:S)) -> s(mark(X:S)) mark(ttrue) -> ttrue Problem 1: SCC Processor: -> Pairs: A__DIV(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__DIV(s(X:S),s(Y:S)) -> A__IF(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) A__GEQ(s(X:S),s(Y:S)) -> A__GEQ(X:S,Y:S) A__IF(ffalse,X:S,Y:S) -> MARK(Y:S) A__IF(ttrue,X:S,Y:S) -> MARK(X:S) A__MINUS(s(X:S),s(Y:S)) -> A__MINUS(X:S,Y:S) MARK(div(X1:S,X2:S)) -> A__DIV(mark(X1:S),X2:S) MARK(div(X1:S,X2:S)) -> MARK(X1:S) MARK(geq(X1:S,X2:S)) -> A__GEQ(X1:S,X2:S) MARK(if(X1:S,X2:S,X3:S)) -> A__IF(mark(X1:S),X2:S,X3:S) MARK(if(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(minus(X1:S,X2:S)) -> A__MINUS(X1:S,X2:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__div(0,s(Y:S)) -> 0 a__div(s(X:S),s(Y:S)) -> a__if(a__geq(X:S,Y:S),s(div(minus(X:S,Y:S),s(Y:S))),0) a__div(X1:S,X2:S) -> div(X1:S,X2:S) a__geq(0,s(Y:S)) -> ffalse a__geq(s(X:S),s(Y:S)) -> a__geq(X:S,Y:S) a__geq(X:S,0) -> ttrue a__geq(X1:S,X2:S) -> geq(X1:S,X2:S)
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