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TRS Equational pair #487523137
details
property
value
status
complete
benchmark
AC11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.221263885498 seconds
cpu usage
0.185998805
max memory
4202496.0
stage attributes
key
value
output-size
7788
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: (THEORY (AC f)) (RULES f(g(f(h(a),a)),a) -> f(h(a),f(a,a)) f(g(h(a)),f(b,f(b,b))) -> f(g(f(h(a),a)),a) f(h(a),a) -> f(h(a),b) f(h(a),g(a)) -> f(g(h(a)),a) ) Problem 1: Reduction Order Processor: -> Rules: f(g(f(h(a),a)),a) -> f(h(a),f(a,a)) f(g(h(a)),f(b,f(b,b))) -> f(g(f(h(a),a)),a) f(h(a),a) -> f(h(a),b) f(h(a),g(a)) -> f(g(h(a)),a) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1 + X2 + 2 [a] = 2 [b] = 2 [g](X) = X + 2 [h](X) = 2.X + 2 Problem 1: Reduction Order Processor: -> Rules: f(g(h(a)),f(b,f(b,b))) -> f(g(f(h(a),a)),a) f(h(a),a) -> f(h(a),b) f(h(a),g(a)) -> f(g(h(a)),a) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1 + X2 + 2 [a] = 1 [b] = 1 [g](X) = X + 2 [h](X) = 2.X + 2 Problem 1: Reduction Order Processor: -> Rules: f(h(a),a) -> f(h(a),b) f(h(a),g(a)) -> f(g(h(a)),a) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1 + X2 + 2 [a] = 1 [b] = 0 [g](X) = 2.X + 2 [h](X) = X Problem 1: Dependency Pairs Processor: -> FAxioms: F(f(x0,x1),x2) = F(x0,f(x1,x2)) F(x0,x1) = F(x1,x0) -> Pairs: F(f(h(a),g(a)),x0) -> F(f(g(h(a)),a),x0) F(f(h(a),g(a)),x0) -> F(g(h(a)),a) F(h(a),g(a)) -> F(g(h(a)),a) -> EAxioms: f(f(x0,x1),x2) = f(x0,f(x1,x2))
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