details

property	value
status	complete
benchmark	2.61.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0190629959106 seconds
cpu usage	0.015618636
max memory	1720320.0

stage attributes

key	value
output-size	3831
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 u x y z) (RULES f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) i(f(x,h(y))) -> y i(h2(s(x),y,h1(x,z))) -> z k(h(x)) -> h1(0,x) k(h1(x,y)) -> h1(s(x),y) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(j(x,y),y) -> F(x,k(y)) F(j(x,y),y) -> G(f(x,k(y))) F(j(x,y),y) -> K(y) F(x,h1(y,z)) -> H2(0,x,h1(y,z)) G(h2(x,y,h1(z,u))) -> H2(s(x),y,h1(z,u)) H2(x,j(y,h1(z,u)),h1(z,u)) -> H2(s(x),y,h1(s(z),u)) -> Rules: f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) i(f(x,h(y))) -> y i(h2(s(x),y,h1(x,z))) -> z k(h(x)) -> h1(0,x) k(h1(x,y)) -> h1(s(x),y) Problem 1: SCC Processor: -> Pairs: F(j(x,y),y) -> F(x,k(y)) F(j(x,y),y) -> G(f(x,k(y))) F(j(x,y),y) -> K(y) F(x,h1(y,z)) -> H2(0,x,h1(y,z)) G(h2(x,y,h1(z,u))) -> H2(s(x),y,h1(z,u)) H2(x,j(y,h1(z,u)),h1(z,u)) -> H2(s(x),y,h1(s(z),u)) -> Rules: f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) i(f(x,h(y))) -> y i(h2(s(x),y,h1(x,z))) -> z k(h(x)) -> h1(0,x) k(h1(x,y)) -> h1(s(x),y) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H2(x,j(y,h1(z,u)),h1(z,u)) -> H2(s(x),y,h1(s(z),u)) ->->-> Rules: f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) i(f(x,h(y))) -> y i(h2(s(x),y,h1(x,z))) -> z k(h(x)) -> h1(0,x) k(h1(x,y)) -> h1(s(x),y) ->->Cycle: ->->-> Pairs: F(j(x,y),y) -> F(x,k(y)) ->->-> Rules: f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) i(f(x,h(y))) -> y i(h2(s(x),y,h1(x,z))) -> z k(h(x)) -> h1(0,x) k(h1(x,y)) -> h1(s(x),y) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: H2(x,j(y,h1(z,u)),h1(z,u)) -> H2(s(x),y,h1(s(z),u)) -> Rules: f(j(x,y),y) -> g(f(x,k(y))) f(x,h1(y,z)) -> h2(0,x,h1(y,z)) g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u)) h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u)) popout

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