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HRS 58631 pair #381918972
details
property
value
status
complete
benchmark
extrec.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Mixed_HO_10
run statistics
property
value
solver
sol 37957
configuration
hrs
runtime (wallclock)
0.0201389789581 seconds
cpu usage
0.01625116
max memory
2019328.0
stage attributes
key
value
output-size
1791
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_hrs /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ******** General Schema criterion ******** Found constructors: 0, s Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) xpls(X,0) => X (meta X)[is acc in X,0] [is acc in X] >>True Checking (2) xpls(X,s(Y)) => s(xpls(X,Y)) (fun xpls>s) (fun xpls=xpls) subterm comparison of args w. LR LR (meta X)[is acc in X,s(Y)] [is acc in X] (meta Y)[is acc in X,s(Y)] [is positive in s(Y)] [is acc in Y] >>True Checking (3) rec(0,U,F) => U (meta U)[is acc in 0,U,F] [is positive in 0] [is acc in U] >>True Checking (4) rec(s(X),U,F) => F[X,rec(X,U,F)] (meta F)[is acc in s(X),U,F] [is positive in s(X)] [is acc in F] (meta X)[is acc in s(X),U,F] [is positive in s(X)] [is acc in X] (fun rec=rec) subterm comparison of args w. LR LR (meta X)[is acc in s(X),U,F] [is positive in s(X)] [is acc in X] (meta U)[is acc in s(X),U,F] [is positive in s(X)] [is acc in U] (meta F)[is acc in s(X),U,F] [is positive in s(X)] [is acc in F] >>True Checking (5) xmul(X,Y) => rec(Y,0,z1.z2.xpls(X,z2)) (fun xmul>rec) (meta Y)[is acc in X,Y] [is acc in Y] (fun xmul>0) (fun xmul>xpls) (meta X)[is acc in X,Y] [is acc in X] >>True #SN! ******** Signature ******** 0 : nat s : nat -> nat xpls : (nat,nat) -> nat xmul : (nat,nat) -> nat rec : (nat,nat,((nat,nat) -> nat)) -> nat ******** Computation Rules ******** (1) xpls(X,0) => X (2) xpls(X,s(Y)) => s(xpls(X,Y)) (3) rec(0,U,F) => U (4) rec(s(X),U,F) => F[X,rec(X,U,F)] (5) xmul(X,Y) => rec(Y,0,z1.z2.xpls(X,z2)) YES
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