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TRS Stand 20472 pair #381712646
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
n056.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.296700000763 seconds
cpu usage
0.289391617
max memory
5808128.0
stage attributes
key
value
output-size
43088
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 z) (RULES +(+(x,y),z) -> +(x,+(y,z)) +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(#,x) -> x +(1(x),0(y)) -> 1(+(x,y)) +(1(x),1(y)) -> 0(+(+(x,y),1(#))) +(x,#) -> x -(0(x),0(y)) -> 0(-(x,y)) -(0(x),1(y)) -> 1(-(-(x,y),1(#))) -(#,x) -> # -(1(x),0(y)) -> 1(-(x,y)) -(1(x),1(y)) -> 0(-(x,y)) -(x,#) -> x 0(#) -> # ge(0(x),0(y)) -> ge(x,y) ge(0(x),1(y)) -> not(ge(y,x)) ge(#,0(x)) -> ge(#,x) ge(#,1(x)) -> false ge(1(x),0(y)) -> ge(x,y) ge(1(x),1(y)) -> ge(x,y) ge(x,#) -> true if(false,x,y) -> y if(true,x,y) -> x log(x) -> -(log'(x),1(#)) log'(0(x)) -> if(ge(x,1(#)),+(log'(x),1(#)),#) log'(#) -> # log'(1(x)) -> +(log'(x),1(#)) not(false) -> true not(true) -> false ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(+(x,y),z) -> +#(x,+(y,z)) +#(+(x,y),z) -> +#(y,z) +#(0(x),0(y)) -> +#(x,y) +#(0(x),0(y)) -> 0#(+(x,y)) +#(0(x),1(y)) -> +#(x,y) +#(1(x),0(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(+(x,y),1(#)) +#(1(x),1(y)) -> +#(x,y) +#(1(x),1(y)) -> 0#(+(+(x,y),1(#))) -#(0(x),0(y)) -> -#(x,y) -#(0(x),0(y)) -> 0#(-(x,y)) -#(0(x),1(y)) -> -#(-(x,y),1(#)) -#(0(x),1(y)) -> -#(x,y) -#(1(x),0(y)) -> -#(x,y) -#(1(x),1(y)) -> -#(x,y) -#(1(x),1(y)) -> 0#(-(x,y)) GE(0(x),0(y)) -> GE(x,y) GE(0(x),1(y)) -> GE(y,x) GE(0(x),1(y)) -> NOT(ge(y,x)) GE(#,0(x)) -> GE(#,x) GE(1(x),0(y)) -> GE(x,y) GE(1(x),1(y)) -> GE(x,y) LOG(x) -> -#(log'(x),1(#)) LOG(x) -> LOG'(x) LOG'(0(x)) -> +#(log'(x),1(#)) LOG'(0(x)) -> GE(x,1(#)) LOG'(0(x)) -> IF(ge(x,1(#)),+(log'(x),1(#)),#) LOG'(0(x)) -> LOG'(x) LOG'(1(x)) -> +#(log'(x),1(#)) LOG'(1(x)) -> LOG'(x) -> Rules: +(+(x,y),z) -> +(x,+(y,z)) +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(#,x) -> x +(1(x),0(y)) -> 1(+(x,y)) +(1(x),1(y)) -> 0(+(+(x,y),1(#))) +(x,#) -> x -(0(x),0(y)) -> 0(-(x,y)) -(0(x),1(y)) -> 1(-(-(x,y),1(#))) -(#,x) -> # -(1(x),0(y)) -> 1(-(x,y)) -(1(x),1(y)) -> 0(-(x,y)) -(x,#) -> x 0(#) -> # ge(0(x),0(y)) -> ge(x,y) ge(0(x),1(y)) -> not(ge(y,x)) ge(#,0(x)) -> ge(#,x) ge(#,1(x)) -> false ge(1(x),0(y)) -> ge(x,y) ge(1(x),1(y)) -> ge(x,y) ge(x,#) -> true if(false,x,y) -> y
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