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TRS Context Sensitive pair #516978722
details
property
value
status
complete
benchmark
Ex6_9_Luc02c.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n031.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0844130516052 seconds
cpu usage
0.016530293
max memory
1392640.0
stage attributes
key
value
output-size
1353
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 X1 Y Z) (STRATEGY CONTEXTSENSITIVE (2nd 1) (from 1) (cons 1) (cons1 1 2) (s 1) ) (RULES 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 2nd(cons1(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) ) Problem 1: Innermost Equivalent Processor: -> Rules: 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 2nd(cons1(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: 2ND(cons(X,X1)) -> 2ND(cons1(X,X1)) 2ND(cons(X,X1)) -> X1 -> Rules: 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 2nd(cons1(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> Unhiding Rules: from(s(X)) -> FROM(s(X)) Problem 1: SCC Processor: -> Pairs: 2ND(cons(X,X1)) -> 2ND(cons1(X,X1)) 2ND(cons(X,X1)) -> X1 -> Rules: 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 2nd(cons1(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> Unhiding rules: from(s(X)) -> FROM(s(X)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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