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TRS Standard pair #516967811
details
property
value
status
complete
benchmark
log2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.474859952927 seconds
cpu usage
0.369056088
max memory
6242304.0
stage attributes
key
value
output-size
52374
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 +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0(x:S),0(y:S)) -> 0(+(x:S,y:S)) +(0(x:S),1(y:S)) -> 1(+(x:S,y:S)) +(#,x:S) -> x:S +(1(x:S),0(y:S)) -> 1(+(x:S,y:S)) +(1(x:S),1(y:S)) -> 0(+(+(x:S,y:S),1(#))) +(x:S,#) -> x:S -(0(x:S),0(y:S)) -> 0(-(x:S,y:S)) -(0(x:S),1(y:S)) -> 1(-(-(x:S,y:S),1(#))) -(#,x:S) -> # -(1(x:S),0(y:S)) -> 1(-(x:S,y:S)) -(1(x:S),1(y:S)) -> 0(-(x:S,y:S)) -(x:S,#) -> x:S 0(#) -> # ge(0(x:S),0(y:S)) -> ge(x:S,y:S) ge(0(x:S),1(y:S)) -> not(ge(y:S,x:S)) ge(#,0(x:S)) -> ge(#,x:S) ge(#,1(x:S)) -> ffalse ge(1(x:S),0(y:S)) -> ge(x:S,y:S) ge(1(x:S),1(y:S)) -> ge(x:S,y:S) ge(x:S,#) -> ttrue if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S log(x:S) -> -(log'(x:S),1(#)) log'(0(x:S)) -> if(ge(x:S,1(#)),+(log'(x:S),1(#)),#) log'(#) -> # log'(1(x:S)) -> +(log'(x:S),1(#)) not(ffalse) -> ttrue not(ttrue) -> ffalse ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) +#(0(x:S),0(y:S)) -> +#(x:S,y:S) +#(0(x:S),0(y:S)) -> 0#(+(x:S,y:S)) +#(0(x:S),1(y:S)) -> +#(x:S,y:S) +#(1(x:S),0(y:S)) -> +#(x:S,y:S) +#(1(x:S),1(y:S)) -> +#(+(x:S,y:S),1(#)) +#(1(x:S),1(y:S)) -> +#(x:S,y:S) +#(1(x:S),1(y:S)) -> 0#(+(+(x:S,y:S),1(#))) -#(0(x:S),0(y:S)) -> -#(x:S,y:S) -#(0(x:S),0(y:S)) -> 0#(-(x:S,y:S)) -#(0(x:S),1(y:S)) -> -#(-(x:S,y:S),1(#)) -#(0(x:S),1(y:S)) -> -#(x:S,y:S) -#(1(x:S),0(y:S)) -> -#(x:S,y:S) -#(1(x:S),1(y:S)) -> -#(x:S,y:S) -#(1(x:S),1(y:S)) -> 0#(-(x:S,y:S)) GE(0(x:S),0(y:S)) -> GE(x:S,y:S) GE(0(x:S),1(y:S)) -> GE(y:S,x:S) GE(0(x:S),1(y:S)) -> NOT(ge(y:S,x:S)) GE(#,0(x:S)) -> GE(#,x:S) GE(1(x:S),0(y:S)) -> GE(x:S,y:S) GE(1(x:S),1(y:S)) -> GE(x:S,y:S) LOG(x:S) -> -#(log'(x:S),1(#)) LOG(x:S) -> LOG'(x:S) LOG'(0(x:S)) -> +#(log'(x:S),1(#)) LOG'(0(x:S)) -> GE(x:S,1(#)) LOG'(0(x:S)) -> IF(ge(x:S,1(#)),+(log'(x:S),1(#)),#) LOG'(0(x:S)) -> LOG'(x:S) LOG'(1(x:S)) -> +#(log'(x:S),1(#)) LOG'(1(x:S)) -> LOG'(x:S) -> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0(x:S),0(y:S)) -> 0(+(x:S,y:S)) +(0(x:S),1(y:S)) -> 1(+(x:S,y:S)) +(#,x:S) -> x:S +(1(x:S),0(y:S)) -> 1(+(x:S,y:S)) +(1(x:S),1(y:S)) -> 0(+(+(x:S,y:S),1(#))) +(x:S,#) -> x:S -(0(x:S),0(y:S)) -> 0(-(x:S,y:S)) -(0(x:S),1(y:S)) -> 1(-(-(x:S,y:S),1(#))) -(#,x:S) -> # -(1(x:S),0(y:S)) -> 1(-(x:S,y:S)) -(1(x:S),1(y:S)) -> 0(-(x:S,y:S)) -(x:S,#) -> x:S 0(#) -> # ge(0(x:S),0(y:S)) -> ge(x:S,y:S) ge(0(x:S),1(y:S)) -> not(ge(y:S,x:S)) ge(#,0(x:S)) -> ge(#,x:S) ge(#,1(x:S)) -> ffalse ge(1(x:S),0(y:S)) -> ge(x:S,y:S) ge(1(x:S),1(y:S)) -> ge(x:S,y:S) ge(x:S,#) -> ttrue if(ffalse,x:S,y:S) -> y:S
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