details

property	value
status	complete
benchmark	jwtpa1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Waldmann_06

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	1.14485 seconds
cpu usage	1.11728
user time	0.972012
system time	0.145268
max virtual memory	711956.0
max residence set size	8452.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(f(a,x:S),y:S) -> F(x:S,f(a,f(h(a),a))) F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) Problem 1: SCC Processor: -> Pairs: F(f(a,x:S),y:S) -> F(x:S,f(a,f(h(a),a))) F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(a,x:S),y:S) -> F(x:S,f(a,f(h(a),a))) F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) ->->-> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) Problem 1: Reduction Pairs Processor: -> Pairs: F(f(a,x:S),y:S) -> F(x:S,f(a,f(h(a),a))) F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) -> Usable rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) ->Interpretation type: Simple mixed ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1.X2 + 1/2.X1 [a] = 2 [fSNonEmpty] = 0 [h](X) = 0 [F](X1,X2) = 1/2.X1.X2 + 1/2.X1 Problem 1: SCC Processor: -> Pairs: F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) ->->-> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) Problem 1: Reduction Pairs Processor: -> Pairs: F(f(a,x:S),y:S) -> F(y:S,f(x:S,f(a,f(h(a),a)))) -> Rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) -> Usable rules: f(f(a,x:S),y:S) -> f(y:S,f(x:S,f(a,f(h(a),a)))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard