Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_5.smt2
The authors Robert Vajda and Zoltan Kovacs released this problem in the paper that can be found in "http://ceur-ws.org/Vol-2752/paper15.pdf". A short description of the problem can be found down below.
Triangle-Bottema1.5:
Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.5):Let A, B, C be arbitrary points. Let t1 be the polygon A, B, C. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Compare (a + b) (b + c) (c + a) and a^3 + b^3 + c^3.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1360 |
| Compressed Size | 660 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | — |
| Generated On | — |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 1350 |
| Compressed Size | 661 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.26555
|
0.16597
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41991
|
0.43712
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
2.11701
|
2.01714
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22305
|
0.12336
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.30787
|
0.20791
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28397
|
0.16724
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45019
|
0.43233
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25463
|
0.13529
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29748
|
0.16889
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59669
|
0.47696
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27501
|
0.15796
|
| |
|
z3siri-base |
sat ✅
|
0.29550
|
0.17367
|