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TRS Standard pair #516968126
details
property
value
status
complete
benchmark
t012.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
HirokawaMiddeldorp_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.302700042725 seconds
cpu usage
0.25962656
max memory
4395008.0
stage attributes
key
value
output-size
25216
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) (RULES f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(minus(x:S)) -> F(x:S) F(minus(x:S)) -> MINUS(f(x:S)) F(minus(x:S)) -> MINUS(minus(f(x:S))) F(minus(x:S)) -> MINUS(minus(minus(f(x:S)))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) -> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) Problem 1: SCC Processor: -> Pairs: F(minus(x:S)) -> F(x:S) F(minus(x:S)) -> MINUS(f(x:S)) F(minus(x:S)) -> MINUS(minus(f(x:S))) F(minus(x:S)) -> MINUS(minus(minus(f(x:S)))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) -> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) ->->-> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ->->Cycle: ->->-> Pairs: F(minus(x:S)) -> F(x:S) ->->-> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) The problem is decomposed in 2 subproblems.
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