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TRS Standard pair #516960704
details
property
value
status
complete
benchmark
otto01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.46670007706 seconds
cpu usage
4.244422537
max memory
8.09373696E8
stage attributes
key
value
output-size
15985
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: min(0(),y) -> 0() min(s(x),0()) -> 0() min(s(x),s(y)) -> min(x,y) len(nil()) -> 0() len(cons(x,xs)) -> s(len(xs)) sum(x,0()) -> x sum(x,s(y)) -> s(sum(x,y)) le(0(),x) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) take(0(),cons(y,ys)) -> y take(s(x),cons(y,ys)) -> take(x,ys) addList(x,y) -> if(le(0(),min(len(x),len(y))),0(),x,y,nil()) if(false(),c,x,y,z) -> z if(true(),c,xs,ys,z) -> if(le(s(c),min(len(xs),len(ys))),s(c),xs,ys,cons(sum(take(c,xs),take(c,ys)),z)) Proof: DP Processor: DPs: min#(s(x),s(y)) -> min#(x,y) len#(cons(x,xs)) -> len#(xs) sum#(x,s(y)) -> sum#(x,y) le#(s(x),s(y)) -> le#(x,y) take#(s(x),cons(y,ys)) -> take#(x,ys) addList#(x,y) -> len#(y) addList#(x,y) -> len#(x) addList#(x,y) -> min#(len(x),len(y)) addList#(x,y) -> le#(0(),min(len(x),len(y))) addList#(x,y) -> if#(le(0(),min(len(x),len(y))),0(),x,y,nil()) if#(true(),c,xs,ys,z) -> take#(c,ys) if#(true(),c,xs,ys,z) -> take#(c,xs) if#(true(),c,xs,ys,z) -> sum#(take(c,xs),take(c,ys)) if#(true(),c,xs,ys,z) -> len#(ys) if#(true(),c,xs,ys,z) -> len#(xs) if#(true(),c,xs,ys,z) -> min#(len(xs),len(ys)) if#(true(),c,xs,ys,z) -> le#(s(c),min(len(xs),len(ys))) if#(true(),c,xs,ys,z) -> if#(le(s(c),min(len(xs),len(ys))),s(c),xs,ys,cons(sum(take(c,xs),take(c,ys)),z)) TRS: min(0(),y) -> 0() min(s(x),0()) -> 0() min(s(x),s(y)) -> min(x,y) len(nil()) -> 0() len(cons(x,xs)) -> s(len(xs)) sum(x,0()) -> x sum(x,s(y)) -> s(sum(x,y)) le(0(),x) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) take(0(),cons(y,ys)) -> y take(s(x),cons(y,ys)) -> take(x,ys) addList(x,y) -> if(le(0(),min(len(x),len(y))),0(),x,y,nil()) if(false(),c,x,y,z) -> z if(true(),c,xs,ys,z) -> if(le(s(c),min(len(xs),len(ys))),s(c),xs,ys,cons(sum(take(c,xs),take(c,ys)),z)) TDG Processor: DPs: min#(s(x),s(y)) -> min#(x,y) len#(cons(x,xs)) -> len#(xs) sum#(x,s(y)) -> sum#(x,y) le#(s(x),s(y)) -> le#(x,y) take#(s(x),cons(y,ys)) -> take#(x,ys) addList#(x,y) -> len#(y) addList#(x,y) -> len#(x) addList#(x,y) -> min#(len(x),len(y)) addList#(x,y) -> le#(0(),min(len(x),len(y))) addList#(x,y) -> if#(le(0(),min(len(x),len(y))),0(),x,y,nil()) if#(true(),c,xs,ys,z) -> take#(c,ys) if#(true(),c,xs,ys,z) -> take#(c,xs) if#(true(),c,xs,ys,z) -> sum#(take(c,xs),take(c,ys)) if#(true(),c,xs,ys,z) -> len#(ys) if#(true(),c,xs,ys,z) -> len#(xs) if#(true(),c,xs,ys,z) -> min#(len(xs),len(ys)) if#(true(),c,xs,ys,z) -> le#(s(c),min(len(xs),len(ys))) if#(true(),c,xs,ys,z) -> if#(le(s(c),min(len(xs),len(ys))),s(c),xs,ys,cons(sum(take(c,xs),take(c,ys)),z)) TRS: min(0(),y) -> 0() min(s(x),0()) -> 0() min(s(x),s(y)) -> min(x,y) len(nil()) -> 0() len(cons(x,xs)) -> s(len(xs)) sum(x,0()) -> x sum(x,s(y)) -> s(sum(x,y)) le(0(),x) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) take(0(),cons(y,ys)) -> y take(s(x),cons(y,ys)) -> take(x,ys) addList(x,y) -> if(le(0(),min(len(x),len(y))),0(),x,y,nil())
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