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TRS Standard pair #516966351
details
property
value
status
complete
benchmark
id_inc.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n166.star.cs.uiowa.edu
space
AProVE_08
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.488935947418 seconds
cpu usage
0.401433295
max memory
4354048.0
stage attributes
key
value
output-size
9468
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) (RULES f(c(s(x:S),y:S)) -> g(c(x:S,y:S)) f(s(x:S)) -> f(id_inc(c(x:S,x:S))) g(c(s(x:S),y:S)) -> g(c(y:S,x:S)) g(c(x:S,s(y:S))) -> g(c(y:S,x:S)) g(c(x:S,x:S)) -> f(x:S) id_inc(0) -> 0 id_inc(0) -> s(0) id_inc(c(x:S,y:S)) -> c(id_inc(x:S),id_inc(y:S)) id_inc(s(x:S)) -> s(id_inc(x:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(c(s(x:S),y:S)) -> G(c(x:S,y:S)) F(s(x:S)) -> F(id_inc(c(x:S,x:S))) F(s(x:S)) -> ID_INC(c(x:S,x:S)) G(c(s(x:S),y:S)) -> G(c(y:S,x:S)) G(c(x:S,s(y:S))) -> G(c(y:S,x:S)) G(c(x:S,x:S)) -> F(x:S) ID_INC(c(x:S,y:S)) -> ID_INC(x:S) ID_INC(c(x:S,y:S)) -> ID_INC(y:S) ID_INC(s(x:S)) -> ID_INC(x:S) -> Rules: f(c(s(x:S),y:S)) -> g(c(x:S,y:S)) f(s(x:S)) -> f(id_inc(c(x:S,x:S))) g(c(s(x:S),y:S)) -> g(c(y:S,x:S)) g(c(x:S,s(y:S))) -> g(c(y:S,x:S)) g(c(x:S,x:S)) -> f(x:S) id_inc(0) -> 0 id_inc(0) -> s(0) id_inc(c(x:S,y:S)) -> c(id_inc(x:S),id_inc(y:S)) id_inc(s(x:S)) -> s(id_inc(x:S)) Problem 1: SCC Processor: -> Pairs: F(c(s(x:S),y:S)) -> G(c(x:S,y:S)) F(s(x:S)) -> F(id_inc(c(x:S,x:S))) F(s(x:S)) -> ID_INC(c(x:S,x:S)) G(c(s(x:S),y:S)) -> G(c(y:S,x:S)) G(c(x:S,s(y:S))) -> G(c(y:S,x:S)) G(c(x:S,x:S)) -> F(x:S) ID_INC(c(x:S,y:S)) -> ID_INC(x:S) ID_INC(c(x:S,y:S)) -> ID_INC(y:S) ID_INC(s(x:S)) -> ID_INC(x:S) -> Rules: f(c(s(x:S),y:S)) -> g(c(x:S,y:S)) f(s(x:S)) -> f(id_inc(c(x:S,x:S))) g(c(s(x:S),y:S)) -> g(c(y:S,x:S)) g(c(x:S,s(y:S))) -> g(c(y:S,x:S)) g(c(x:S,x:S)) -> f(x:S) id_inc(0) -> 0 id_inc(0) -> s(0) id_inc(c(x:S,y:S)) -> c(id_inc(x:S),id_inc(y:S)) id_inc(s(x:S)) -> s(id_inc(x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ID_INC(c(x:S,y:S)) -> ID_INC(x:S) ID_INC(c(x:S,y:S)) -> ID_INC(y:S) ID_INC(s(x:S)) -> ID_INC(x:S) ->->-> Rules: f(c(s(x:S),y:S)) -> g(c(x:S,y:S)) f(s(x:S)) -> f(id_inc(c(x:S,x:S))) g(c(s(x:S),y:S)) -> g(c(y:S,x:S)) g(c(x:S,s(y:S))) -> g(c(y:S,x:S)) g(c(x:S,x:S)) -> f(x:S) id_inc(0) -> 0 id_inc(0) -> s(0) id_inc(c(x:S,y:S)) -> c(id_inc(x:S),id_inc(y:S)) id_inc(s(x:S)) -> s(id_inc(x:S)) ->->Cycle: ->->-> Pairs: F(c(s(x:S),y:S)) -> G(c(x:S,y:S)) F(s(x:S)) -> F(id_inc(c(x:S,x:S))) G(c(s(x:S),y:S)) -> G(c(y:S,x:S)) G(c(x:S,s(y:S))) -> G(c(y:S,x:S)) G(c(x:S,x:S)) -> F(x:S) ->->-> Rules: f(c(s(x:S),y:S)) -> g(c(x:S,y:S)) f(s(x:S)) -> f(id_inc(c(x:S,x:S))) g(c(s(x:S),y:S)) -> g(c(y:S,x:S)) g(c(x:S,s(y:S))) -> g(c(y:S,x:S)) g(c(x:S,x:S)) -> f(x:S) id_inc(0) -> 0
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