Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_3a.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.
IsoRightTriangle-Bottema1.3a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.3 (isosceles right triangle, ver. a):Let C, A be arbitrary points. Let b be the segment C, A. Let d be the circle through A with center C. Let f be the line through C perpendicular to b. Let B be the intersection point of d, f. Let c be the segment B, A. Let a be the segment B, C. Compare (a + b - c) (b + c - a) (c + a - b) and a b c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1462 |
| Compressed Size | 715 |
| 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 | 1452 |
| Compressed Size | 710 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| 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 ✅
|
0.06236
|
0.06291
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.95000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05366
|
0.05372
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01861
|
0.00624
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01353
|
0.01205
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.22636
|
0.22672
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01363
|
0.01358
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01923
|
0.02108
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28675
|
0.28680
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23903
|
0.13936
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41042
|
0.41835
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21877
|
0.11917
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21843
|
0.11855
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26881
|
0.16918
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30550
|
0.17453
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44112
|
0.42869
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.36795
|
0.24512
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25356
|
0.13498
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.66523
|
0.55129
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28123
|
0.15722
|
| |
|
z3siri-base |
sat ✅
|
0.29592
|
0.17236
|