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TRS Conte Sensi 17651 pair #381733276
details
property
value
status
complete
benchmark
Ex1_GM03.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
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.150545835495 seconds
cpu usage
0.138932545
max memory
4120576.0
stage attributes
key
value
output-size
5719
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 X Y) (STRATEGY CONTEXTSENSITIVE (diff 1 2) (if 1) (leq 1 2) (p 1) (0) (false) (s 1) (true) ) (RULES diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) if(false,X,Y) -> Y if(true,X,Y) -> X leq(0,Y) -> true leq(s(X),0) -> false leq(s(X),s(Y)) -> leq(X,Y) p(0) -> 0 p(s(X)) -> X ) Problem 1: Innermost Equivalent Processor: -> Rules: diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) if(false,X,Y) -> Y if(true,X,Y) -> X leq(0,Y) -> true leq(s(X),0) -> false leq(s(X),s(Y)) -> leq(X,Y) p(0) -> 0 p(s(X)) -> X -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: DIFF(X,Y) -> IF(leq(X,Y),0,s(diff(p(X),Y))) DIFF(X,Y) -> LEQ(X,Y) IF(false,X,Y) -> Y IF(true,X,Y) -> X LEQ(s(X),s(Y)) -> LEQ(X,Y) -> Rules: diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) if(false,X,Y) -> Y if(true,X,Y) -> X leq(0,Y) -> true leq(s(X),0) -> false leq(s(X),s(Y)) -> leq(X,Y) p(0) -> 0 p(s(X)) -> X -> Unhiding Rules: s(diff(p(X),Y)) -> DIFF(p(X),Y) s(diff(p(X),Y)) -> P(X) Problem 1: SCC Processor: -> Pairs: DIFF(X,Y) -> IF(leq(X,Y),0,s(diff(p(X),Y))) DIFF(X,Y) -> LEQ(X,Y) IF(false,X,Y) -> Y IF(true,X,Y) -> X LEQ(s(X),s(Y)) -> LEQ(X,Y) -> Rules: diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) if(false,X,Y) -> Y if(true,X,Y) -> X leq(0,Y) -> true leq(s(X),0) -> false leq(s(X),s(Y)) -> leq(X,Y) p(0) -> 0 p(s(X)) -> X -> Unhiding rules: s(diff(p(X),Y)) -> DIFF(p(X),Y) s(diff(p(X),Y)) -> P(X) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: LEQ(s(X),s(Y)) -> LEQ(X,Y) ->->-> Rules: diff(X,Y) -> if(leq(X,Y),0,s(diff(p(X),Y))) if(false,X,Y) -> Y if(true,X,Y) -> X leq(0,Y) -> true leq(s(X),0) -> false
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