Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema1_19b.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.
IsoTriangle-Bottema1.19b:
Comparison of Expressions Related to Triangle Sides via RealGeom, Bottema 1.19 (isosceles triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let g be the perpendicular bisector of c. Let C be a point on g. Let b be the segment A, C. Compare 2b^2 + c^2 and (2b + c)^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1142 |
| Compressed Size | 625 |
| 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 | 1132 |
| Compressed Size | 621 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.03079
|
0.03144
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.96000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02470
|
0.02473
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04324
|
0.01100
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02037
|
0.02034
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01243
|
0.01015
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01284
|
0.01150
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01856
|
0.02048
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28343
|
0.28351
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30524
|
0.17315
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41335
|
0.39614
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26112
|
0.14451
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29480
|
0.16401
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60126
|
0.47654
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28213
|
0.16156
|
| |
|
z3siri-base |
sat ✅
|
0.27341
|
0.15096
|