Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema8_1b.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-Bottema8.1b:
Comparison of Sum of Medians and Perimeter via realgeom, Bottema 8.1 (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. Let D be the midpoint of A, B. Let E be the midpoint of A, C. Let m_c be the segment C, D. Let m_b be the segment E, B. Compare 2m_b + m_c and 2b + c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
| Size | 1382 |
| Compressed Size | 683 |
| 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 | 1372 |
| Compressed Size | 686 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| 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 ✅
|
0.03243
|
0.03297
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.09000
|
1199.97000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02416
|
0.02418
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03050
|
0.00718
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
5.68740
|
5.68707
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01365
|
0.01359
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01503
|
0.01215
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02506
|
0.02698
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29332
|
0.29336
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30100
|
0.16990
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42866
|
0.40667
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29084
|
0.16392
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29644
|
0.16695
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59980
|
0.48664
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32258
|
0.19367
|
| |
|
z3siri-base |
sat ✅
|
0.29870
|
0.17576
|