Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_9a.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-Bottema1.9a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.9 (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) a b c and a^3 (b + c - a) + b^3 (c + a - b) + c^3 (a + b - c).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1596 |
| Compressed Size | 745 |
| 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 | 1586 |
| Compressed Size | 747 |
| Max. Term Depth | 6 |
| 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 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.04050
|
0.04092
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05987
|
0.05993
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01868
|
0.00654
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
9.41558
|
9.41485
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01171
|
0.01168
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02350
|
0.02370
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28569
|
0.28568
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29221
|
0.29226
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23106
|
0.13147
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41593
|
0.42885
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.71797
|
1201.06019
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.23559
|
0.13598
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26877
|
0.16886
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.26577
|
0.14863
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44655
|
0.43260
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
5.64850
|
5.52367
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29416
|
0.16550
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59541
|
0.48152
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.33437
|
0.19742
|
| |
|
z3siri-base |
sat ✅
|
0.30599
|
0.17508
|