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TRS Standard pair #516966221
details
property
value
status
complete
benchmark
gen-9.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n076.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.459717988968 seconds
cpu usage
0.385673233
max memory
9220096.0
stage attributes
key
value
output-size
4769
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 z:S) (RULES b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) ) Problem 1: Dependency Pairs Processor: -> Pairs: B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(c(y:S,a,z:S),z:S,x:S) B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(y:S,a,z:S) C(c(z:S,y:S,a),a,a) -> B(z:S,y:S) F(c(x:S,y:S,z:S)) -> B(y:S,z:S) F(c(x:S,y:S,z:S)) -> C(z:S,f(b(y:S,z:S)),a) F(c(x:S,y:S,z:S)) -> F(b(y:S,z:S)) -> Rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) Problem 1: SCC Processor: -> Pairs: B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(c(y:S,a,z:S),z:S,x:S) B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(y:S,a,z:S) C(c(z:S,y:S,a),a,a) -> B(z:S,y:S) F(c(x:S,y:S,z:S)) -> B(y:S,z:S) F(c(x:S,y:S,z:S)) -> C(z:S,f(b(y:S,z:S)),a) F(c(x:S,y:S,z:S)) -> F(b(y:S,z:S)) -> Rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(c(y:S,a,z:S),z:S,x:S) B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(y:S,a,z:S) C(c(z:S,y:S,a),a,a) -> B(z:S,y:S) ->->-> Rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) ->->Cycle: ->->-> Pairs: F(c(x:S,y:S,z:S)) -> F(b(y:S,z:S)) ->->-> Rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(c(y:S,a,z:S),z:S,x:S) B(z:S,b(c(a,y:S,a),f(f(x:S)))) -> C(y:S,a,z:S) C(c(z:S,y:S,a),a,a) -> B(z:S,y:S) -> Rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) f(c(x:S,y:S,z:S)) -> c(z:S,f(b(y:S,z:S)),a) -> Usable rules: b(z:S,b(c(a,y:S,a),f(f(x:S)))) -> c(c(y:S,a,z:S),z:S,x:S) c(c(z:S,y:S,a),a,a) -> b(z:S,y:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [b](X1,X2) = 2.X1 + 2.X2 [c](X1,X2,X3) = 2.X1 + 2.X2 [f](X) = 2.X + 1 [a] = 0 [B](X1,X2) = 2.X1 + 2.X2 + 2 [C](X1,X2,X3) = 2.X1 + 2.X2 + 2.X3 + 2 Problem 1.1:
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