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HRS 58631 pair #381918966
details
property
value
status
complete
benchmark
h08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n038.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
sol 37957
configuration
hrs
runtime (wallclock)
0.0432260036469 seconds
cpu usage
0.039999507
max memory
5365760.0
stage attributes
key
value
output-size
3397
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_hrs /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE 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: g(U) -> true() 2: pred(0()) -> 0() 3: pred(s(U1)) -> U1 4: _(X1,X2) -> X1 5: _(X1,X2) -> X2 Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 1 3 5 2 s w: 2 * x1 + 1 _ w: 2 * x1 + 2 * x2 + 1 true w: 0 pred w: 2 * x1 + 7719 0 w: 1 g w: x1 + 1 Number of strict rules: 0 ... Input TRS: 1: g(U) -> true() 2: pred(0()) -> 0() 3: pred(s(U1)) -> U1 4: _(X1,X2) -> X1 5: _(X1,X2) -> X2 Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 1 3 5 2 s w: 2 * x1 + 1 _ w: 2 * x1 + 2 * x2 + 1 true w: 0 pred w: 2 * x1 + 7719 0 w: 1 g w: x1 + 1 Number of strict rules: 0 >>YES ******** Signature ******** g2 : N -> B iszero : (N,N) -> B 0 : N rec : (((N,(N -> B),N) -> B),B,N) -> B h : (N,(N -> B),N) -> B false : B g : N -> B h2 : (N,(N -> B),N) -> B pred : N -> N geq : (N,N) -> B ******** Computation rules ******** (7) g2(V1) => iszero(V1,0) (1) rec(F,Z[0]) => Z (3) h(V,I,P) => false (4) iszero(X1,Y1) => rec(h,g(X1),Y1) (8) h2(W1,J1,X2) => J1[pred(X2)] (9) geq(Y2,U2) => rec(h2,g2(Y2),U2) ******** General Schema criterion ******** Found constructors: 0, false, s, true Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) rec(F,Z[0]) => Z (meta Z)[is acc in F,Z[0]] [is acc in Z[0]] >>False Try again using status RL Checking (1) rec(F,Z[0]) => Z (meta Z)[is acc in F,Z[0]] [is acc in Z[0]] >>False Try again using status Mul Checking (1) rec(F,Z[0]) => Z (meta Z)[is acc in F,Z[0]] [is acc in Z[0]] >>False Found constructors: 0, false, g, pred Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (7) g2(V1) => iszero(V1,0) (fun g2>iszero) (meta V1)[is acc in V1] [is acc in V1] (fun g2>0) >>True Checking (1) rec(F,Z[0]) => Z (meta Z)[is acc in F,Z[0]] [is acc in Z[0]] >>False Try again using status RL Checking (7) g2(V1) => iszero(V1,0) (fun g2>iszero) (meta V1)[is acc in V1] [is acc in V1] (fun g2>0) >>True Checking (1) rec(F,Z[0]) => Z (meta Z)[is acc in F,Z[0]] [is acc in Z[0]] >>False
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