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TRS Stand 20472 pair #381712291
details
property
value
status
timeout (wallclock)
benchmark
18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
space
Beerendonk_07
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
301.030004025 seconds
cpu usage
308.870351979
max memory
2.7201536E7
stage attributes
unavailable
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) (RULES cond1(true,x,y) -> cond2(gr(x,0),x,y) cond2(false,x,y) -> cond3(gr(y,0),x,y) cond2(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),p(x),y) cond3(false,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,y) cond3(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) or(false,false) -> false or(true,x) -> true or(x,true) -> true p(0) -> 0 p(s(x)) -> x ) Problem 1: Innermost Equivalent Processor: -> Rules: cond1(true,x,y) -> cond2(gr(x,0),x,y) cond2(false,x,y) -> cond3(gr(y,0),x,y) cond2(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),p(x),y) cond3(false,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,y) cond3(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) or(false,false) -> false or(true,x) -> true or(x,true) -> true p(0) -> 0 p(s(x)) -> x -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: COND1(true,x,y) -> COND2(gr(x,0),x,y) COND1(true,x,y) -> GR(x,0) COND2(false,x,y) -> COND3(gr(y,0),x,y) COND2(false,x,y) -> GR(y,0) COND2(true,x,y) -> COND1(or(gr(x,0),gr(y,0)),p(x),y) COND2(true,x,y) -> GR(x,0) COND2(true,x,y) -> GR(y,0) COND2(true,x,y) -> OR(gr(x,0),gr(y,0)) COND2(true,x,y) -> P(x) COND3(false,x,y) -> COND1(or(gr(x,0),gr(y,0)),x,y) COND3(false,x,y) -> GR(x,0) COND3(false,x,y) -> GR(y,0) COND3(false,x,y) -> OR(gr(x,0),gr(y,0)) COND3(true,x,y) -> COND1(or(gr(x,0),gr(y,0)),x,p(y)) COND3(true,x,y) -> GR(x,0) COND3(true,x,y) -> GR(y,0) COND3(true,x,y) -> OR(gr(x,0),gr(y,0)) COND3(true,x,y) -> P(y) GR(s(x),s(y)) -> GR(x,y) -> Rules: cond1(true,x,y) -> cond2(gr(x,0),x,y) cond2(false,x,y) -> cond3(gr(y,0),x,y) cond2(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),p(x),y) cond3(false,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,y) cond3(true,x,y) -> cond1(or(gr(x,0),gr(y,0)),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) or(false,false) -> false or(true,x) -> true or(x,true) -> true p(0) -> 0 p(s(x)) -> x Problem 1: SCC Processor: -> Pairs: COND1(true,x,y) -> COND2(gr(x,0),x,y) COND1(true,x,y) -> GR(x,0) COND2(false,x,y) -> COND3(gr(y,0),x,y) COND2(false,x,y) -> GR(y,0) COND2(true,x,y) -> COND1(or(gr(x,0),gr(y,0)),p(x),y) COND2(true,x,y) -> GR(x,0) COND2(true,x,y) -> GR(y,0) COND2(true,x,y) -> OR(gr(x,0),gr(y,0)) COND2(true,x,y) -> P(x) COND3(false,x,y) -> COND1(or(gr(x,0),gr(y,0)),x,y) COND3(false,x,y) -> GR(x,0)
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