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HRS 58631 pair #381919117
details
property
value
status
complete
benchmark
Applicative_AG01_innermost__#4.24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Uncurried_Applicative_11
run statistics
property
value
solver
sol 37957
configuration
hrs
runtime (wallclock)
0.11273598671 seconds
cpu usage
0.1169187
max memory
1.0268672E7
stage attributes
key
value
output-size
10104
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_hrs /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES We split firstr-order part and higher-order part, and do modular checking by a general modularity. ******** FO SN check ******** Check SN using NaTT (Nagoya Termination Tool) Input TRS: 1: intlist(nil()) -> nil() 2: intlist(cons(X,Y)) -> cons(s(X),intlist(Y)) 3: int(0(),0()) -> cons(0(),nil()) 4: int(0(),s(U)) -> cons(0(),int(s(0()),s(U))) 5: int(s(V),0()) -> nil() 6: int(s(W),s(P)) -> intlist(int(W,P)) 7: _(X1,X2) -> X1 8: _(X1,X2) -> X2 Number of strict rules: 8 Direct POLO(bPol) ... removes: 8 3 5 7 s w: x1 _ w: x1 + 2 * x2 + 1 0 w: 0 nil w: 5921 intlist w: x1 int w: x1 + x2 + 6783 cons w: x1 + x2 Number of strict rules: 4 Direct POLO(bPol) ... removes: 1 s w: 2 * x1 _ w: x1 + 2 * x2 + 1 0 w: 0 nil w: 1 intlist w: 2 * x1 int w: x1 + x2 cons w: x1 + x2 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying int 2: intlist(cons(X,Y)) -> cons(s(X),intlist(Y)) 4: int^1_0(s(U)) -> cons(0(),int^1_s(0(),s(U))) 6: int^1_s(W,s(P)) -> intlist(int(W,P)) 9: int(0(),_1) ->= int^1_0(_1) 10: int(s(_1),_2) ->= int^1_s(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... removes: 10 int^1_0 w: 2 * x1 + 1889 s w: 2 * x1 + 1889 _ w: x1 + x2 0 w: 0 nil w: 0 intlist w: 2 * x1 int w: x1 + 2 * x2 + 1889 cons w: x1 + x2 + 1889 int^1_s w: 2 * x1 + 2 * x2 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #intlist(cons(X,Y)) -> #intlist(Y) #2: #int^1_s(W,s(P)) -> #intlist(int(W,P)) #3: #int^1_s(W,s(P)) -> #int(W,P) #4: #int(0(),_1) ->? #int^1_0(_1) #5: #int^1_0(s(U)) -> #int^1_s(0(),s(U)) Number of SCCs: 2, DPs: 4 SCC { #1 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: x1 s w: 0 _ w: 0 0 w: 0 nil w: 0 intlist w: 0 #int^1_0 w: 0 int w: 0 cons w: x2 + 1 int^1_s w: 0 #int^1_s w: 0 #int w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 3 SCC { #3..5 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: 0 s w: x1 + 3 _ w: 0 0 w: 1 nil w: 0 intlist w: 0 #int^1_0 w: x1 + 1 int w: 0 cons w: 1 int^1_s w: 0 #int^1_s w: x2 #int w: x2 + 2
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