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HRS union beta 16688 pair #381734691
details
property
value
status
complete
benchmark
h43.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
sol 37957
configuration
default
runtime (wallclock)
0.0222980976105 seconds
cpu usage
0.017836289
max memory
2068480.0
stage attributes
key
value
output-size
1981
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 ******** General Schema criterion ******** Found constructors: 0, s Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) X + 0 => X (meta X)[is acc in X,0] [is acc in X] >>True Checking (2) Y + s(U) => s(Y + U) (fun xplus>s) (fun xplus=xplus) subterm comparison of args w. LR LR (meta Y)[is acc in Y,s(U)] [is acc in Y] (meta U)[is acc in Y,s(U)] [is positive in s(U)] [is acc in U] >>True Checking (3) rec(0,V,%Y.%X.I[%Y,%X]) => V (meta V)[is acc in 0,V,%Y.%X.I[%Y,%X]] [is positive in 0] [is acc in V] >>True Checking (4) rec(s(P),X1,%U.%Z.Z1[%U,%Z]) => Z1[P,rec(P,X1,%W.%V.Z1[%W,%V])] (meta Z1)[is acc in s(P),X1,%U.%Z.Z1[%U,%Z]] [is positive in s(P)] [is acc in Z1[%U,%Z]] (meta P)[is acc in s(P),X1,%U.%Z.Z1[%U,%Z]] [is positive in s(P)] [is acc in P] (fun rec=rec) subterm comparison of args w. LR LR (meta P)[is acc in s(P),X1,%U.%Z.Z1[%U,%Z]] [is positive in s(P)] [is acc in P] (meta X1)[is acc in s(P),X1,%U.%Z.Z1[%U,%Z]] [is positive in s(P)] [is acc in X1] (meta Z1)[is acc in s(P),X1,%U.%Z.Z1[%U,%Z]] [is positive in s(P)] [is acc in Z1[%U,%Z]] >>True Checking (5) U1 * V1 => rec(V1,0,%G.%F.(U1 + %F)) (fun xtimes>rec) (meta V1)[is acc in U1,V1] [is acc in V1] (fun xtimes>0) (fun xtimes>xplus) (meta U1)[is acc in U1,V1] [is acc in U1] >>True #SN! ******** Signature ******** 0 : nat rec : (nat,nat,((nat,nat) -> nat)) -> nat s : nat -> nat xplus : (nat,nat) -> nat xtimes : (nat,nat) -> nat ******** Computation Rules ******** (1) X + 0 => X (2) Y + s(U) => s(Y + U) (3) rec(0,V,%Y.%X.I[%Y,%X]) => V (4) rec(s(P),X1,%U.%Z.Z1[%U,%Z]) => Z1[P,rec(P,X1,%W.%V.Z1[%W,%V])] (5) U1 * V1 => rec(V1,0,%G.%F.(U1 + %F)) YES
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return to HRS union beta 16688