Benchmark
non-incremental/QF_UFNRA/20230328-sqrtmodinv-hoenicke/modInvVar1.smt2
This is a relaxed variant of the benchmark in QF_NIA.
This checks the validity of a line in computing the inverse of
denominator mod 2^256. The code is:
assume s > 1 && (denominator * inv1) mod s = 1
inv2 = inv1 * (2 - denominator * inv1)
assert (denominator * inv2) mod (s * s) = 1
See mulInvStepSimplified.smt2 for the reason why this benchmark is unsat.
| Benchmark |
|---|
| Size | 2583 |
| Compressed Size | 856 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | crafted |
| First Occurrence | 2023-07-06 |
| Generated By | Jochen Hoenicke |
| Generated On | 2023-01-19 00:00:00 |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 2575 |
| Compressed Size | 868 |
| Max. Term Depth | 7 |
| Asserts | 15 |
| Declared Functions | 1 |
| Declared Constants | 5 |
| Declared Sorts | 0 |
| Defined Functions | 4 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
Bool | 3 |
ite | 3 |
not | 1 |
or | 2 |
and | 7 |
=> | 3 |
= | 8 |
Real | 1 |
/ | 2 |
+ | 4 |
- | 9 |
* | 31 |
< | 4 |
<= | 3 |
> | 2 |
>= | 6 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
0.50 (2/4) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
1200.11000
|
1199.77000
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.23720
|
0.23778
|
| |
SMTInterpol |
smtinterpol-2.5-1272-g2d6d356c_default |
unknown ❌
|
0.35019
|
0.49841
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01400
|
0.01395
|
|
SMT-COMP 2024
|
0.33 (2/3) |
cvc5 |
cvc5 |
sat ✅
|
0.80603
|
0.70645
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44236
|
0.49631
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25564
|
0.15436
|
|
SMT-COMP 2025
|
0.33 (2/3) |
cvc5 |
cvc5 |
sat ✅
|
0.52986
|
0.41098
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.48621
|
0.53844
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29330
|
0.16787
|