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SRS Standard pair #487091502
details
property
value
status
complete
benchmark
z125.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
101.152 seconds
cpu usage
101.124
user time
96.7596
system time
4.36429
max virtual memory
835692.0
max residence set size
91348.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES c(c(x1:S)) -> c(x1:S) c(f(x1:S)) -> f(n(a(c(x1:S)))) f(x1:S) -> n(c(n(a(x1:S)))) n(f(x1:S)) -> f(n(x1:S)) n(a(x1:S)) -> c(x1:S) n(s(x1:S)) -> f(s(s(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: C(f(x1:S)) -> C(x1:S) C(f(x1:S)) -> F(n(a(c(x1:S)))) C(f(x1:S)) -> N(a(c(x1:S))) F(x1:S) -> C(n(a(x1:S))) F(x1:S) -> N(c(n(a(x1:S)))) F(x1:S) -> N(a(x1:S)) N(f(x1:S)) -> F(n(x1:S)) N(f(x1:S)) -> N(x1:S) N(a(x1:S)) -> C(x1:S) N(s(x1:S)) -> F(s(s(x1:S))) -> Rules: c(c(x1:S)) -> c(x1:S) c(f(x1:S)) -> f(n(a(c(x1:S)))) f(x1:S) -> n(c(n(a(x1:S)))) n(f(x1:S)) -> f(n(x1:S)) n(a(x1:S)) -> c(x1:S) n(s(x1:S)) -> f(s(s(x1:S))) Problem 1: SCC Processor: -> Pairs: C(f(x1:S)) -> C(x1:S) C(f(x1:S)) -> F(n(a(c(x1:S)))) C(f(x1:S)) -> N(a(c(x1:S))) F(x1:S) -> C(n(a(x1:S))) F(x1:S) -> N(c(n(a(x1:S)))) F(x1:S) -> N(a(x1:S)) N(f(x1:S)) -> F(n(x1:S)) N(f(x1:S)) -> N(x1:S) N(a(x1:S)) -> C(x1:S) N(s(x1:S)) -> F(s(s(x1:S))) -> Rules: c(c(x1:S)) -> c(x1:S) c(f(x1:S)) -> f(n(a(c(x1:S)))) f(x1:S) -> n(c(n(a(x1:S)))) n(f(x1:S)) -> f(n(x1:S)) n(a(x1:S)) -> c(x1:S) n(s(x1:S)) -> f(s(s(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: C(f(x1:S)) -> C(x1:S) C(f(x1:S)) -> F(n(a(c(x1:S)))) C(f(x1:S)) -> N(a(c(x1:S))) F(x1:S) -> C(n(a(x1:S))) F(x1:S) -> N(c(n(a(x1:S)))) F(x1:S) -> N(a(x1:S)) N(f(x1:S)) -> F(n(x1:S)) N(f(x1:S)) -> N(x1:S) N(a(x1:S)) -> C(x1:S) N(s(x1:S)) -> F(s(s(x1:S))) ->->-> Rules: c(c(x1:S)) -> c(x1:S) c(f(x1:S)) -> f(n(a(c(x1:S)))) f(x1:S) -> n(c(n(a(x1:S)))) n(f(x1:S)) -> f(n(x1:S)) n(a(x1:S)) -> c(x1:S) n(s(x1:S)) -> f(s(s(x1:S))) Problem 1: Reduction Pair Processor: -> Pairs: C(f(x1:S)) -> C(x1:S) C(f(x1:S)) -> F(n(a(c(x1:S)))) C(f(x1:S)) -> N(a(c(x1:S))) F(x1:S) -> C(n(a(x1:S))) F(x1:S) -> N(c(n(a(x1:S)))) F(x1:S) -> N(a(x1:S)) N(f(x1:S)) -> F(n(x1:S)) N(f(x1:S)) -> N(x1:S) N(a(x1:S)) -> C(x1:S) N(s(x1:S)) -> F(s(s(x1:S))) -> Rules: c(c(x1:S)) -> c(x1:S) c(f(x1:S)) -> f(n(a(c(x1:S)))) f(x1:S) -> n(c(n(a(x1:S)))) n(f(x1:S)) -> f(n(x1:S)) n(a(x1:S)) -> c(x1:S) n(s(x1:S)) -> f(s(s(x1:S))) -> Usable rules:
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