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TRS Standard pair #516966606
details
property
value
status
complete
benchmark
4.28.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.031476020813 seconds
cpu usage
0.024160321
max memory
2236416.0
stage attributes
key
value
output-size
8196
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 y:S z:S) (RULES ++(x:S,g(y:S,z:S)) -> g(++(x:S,y:S),z:S) ++(x:S,nil) -> x:S f(x:S,g(y:S,z:S)) -> g(f(x:S,y:S),z:S) f(x:S,nil) -> g(nil,x:S) max(g(g(g(x:S,y:S),z:S),u)) -> max'(max(g(g(x:S,y:S),z:S)),u) max(g(g(nil,x:S),y:S)) -> max'(x:S,y:S) mem(g(x:S,y:S),z:S) -> or(=(y:S,z:S),mem(x:S,z:S)) mem(nil,y:S) -> ffalse mem(x:S,max(x:S)) -> not(null(x:S)) null(g(x:S,y:S)) -> ffalse null(nil) -> ttrue ) Problem 1: Dependency Pairs Processor: -> Pairs: ++#(x:S,g(y:S,z:S)) -> ++#(x:S,y:S) F(x:S,g(y:S,z:S)) -> F(x:S,y:S) MAX(g(g(g(x:S,y:S),z:S),u)) -> MAX(g(g(x:S,y:S),z:S)) MEM(g(x:S,y:S),z:S) -> MEM(x:S,z:S) MEM(x:S,max(x:S)) -> NULL(x:S) -> Rules: ++(x:S,g(y:S,z:S)) -> g(++(x:S,y:S),z:S) ++(x:S,nil) -> x:S f(x:S,g(y:S,z:S)) -> g(f(x:S,y:S),z:S) f(x:S,nil) -> g(nil,x:S) max(g(g(g(x:S,y:S),z:S),u)) -> max'(max(g(g(x:S,y:S),z:S)),u) max(g(g(nil,x:S),y:S)) -> max'(x:S,y:S) mem(g(x:S,y:S),z:S) -> or(=(y:S,z:S),mem(x:S,z:S)) mem(nil,y:S) -> ffalse mem(x:S,max(x:S)) -> not(null(x:S)) null(g(x:S,y:S)) -> ffalse null(nil) -> ttrue Problem 1: SCC Processor: -> Pairs: ++#(x:S,g(y:S,z:S)) -> ++#(x:S,y:S) F(x:S,g(y:S,z:S)) -> F(x:S,y:S) MAX(g(g(g(x:S,y:S),z:S),u)) -> MAX(g(g(x:S,y:S),z:S)) MEM(g(x:S,y:S),z:S) -> MEM(x:S,z:S) MEM(x:S,max(x:S)) -> NULL(x:S) -> Rules: ++(x:S,g(y:S,z:S)) -> g(++(x:S,y:S),z:S) ++(x:S,nil) -> x:S f(x:S,g(y:S,z:S)) -> g(f(x:S,y:S),z:S) f(x:S,nil) -> g(nil,x:S) max(g(g(g(x:S,y:S),z:S),u)) -> max'(max(g(g(x:S,y:S),z:S)),u) max(g(g(nil,x:S),y:S)) -> max'(x:S,y:S) mem(g(x:S,y:S),z:S) -> or(=(y:S,z:S),mem(x:S,z:S)) mem(nil,y:S) -> ffalse mem(x:S,max(x:S)) -> not(null(x:S)) null(g(x:S,y:S)) -> ffalse null(nil) -> ttrue ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MEM(g(x:S,y:S),z:S) -> MEM(x:S,z:S) ->->-> Rules: ++(x:S,g(y:S,z:S)) -> g(++(x:S,y:S),z:S) ++(x:S,nil) -> x:S f(x:S,g(y:S,z:S)) -> g(f(x:S,y:S),z:S) f(x:S,nil) -> g(nil,x:S) max(g(g(g(x:S,y:S),z:S),u)) -> max'(max(g(g(x:S,y:S),z:S)),u) max(g(g(nil,x:S),y:S)) -> max'(x:S,y:S) mem(g(x:S,y:S),z:S) -> or(=(y:S,z:S),mem(x:S,z:S)) mem(nil,y:S) -> ffalse mem(x:S,max(x:S)) -> not(null(x:S)) null(g(x:S,y:S)) -> ffalse null(nil) -> ttrue ->->Cycle: ->->-> Pairs: MAX(g(g(g(x:S,y:S),z:S),u)) -> MAX(g(g(x:S,y:S),z:S)) ->->-> Rules: ++(x:S,g(y:S,z:S)) -> g(++(x:S,y:S),z:S) ++(x:S,nil) -> x:S f(x:S,g(y:S,z:S)) -> g(f(x:S,y:S),z:S) f(x:S,nil) -> g(nil,x:S) max(g(g(g(x:S,y:S),z:S),u)) -> max'(max(g(g(x:S,y:S),z:S)),u) max(g(g(nil,x:S),y:S)) -> max'(x:S,y:S) mem(g(x:S,y:S),z:S) -> or(=(y:S,z:S),mem(x:S,z:S)) mem(nil,y:S) -> ffalse mem(x:S,max(x:S)) -> not(null(x:S)) null(g(x:S,y:S)) -> ffalse null(nil) -> ttrue ->->Cycle:
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