Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_15a.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-Bottema1.15a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.15 (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) (c + a - b) + (b + c - a) (a + b - c) + (b + c - a) (c + a - b)) and (a + b - c) (b + c - a) (c + a - b).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1746 |
| Compressed Size | 768 |
| 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 | 1736 |
| Compressed Size | 762 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.09474
|
0.09533
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1199.89000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.27770
|
0.27758
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02366
|
0.00722
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01192
|
0.01190
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.54487
|
0.54614
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01404
|
0.01400
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01984
|
0.02167
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29402
|
0.29380
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.04840
|
0.04897
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.24831
|
0.24839
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01773
|
0.00628
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01874
|
0.01874
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01163
|
0.01161
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02358
|
0.02378
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28298
|
0.28304
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28619
|
0.28612
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.26740
|
0.14909
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46586
|
0.44015
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.47737
|
0.35942
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29401
|
0.16535
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58776
|
0.47466
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31400
|
0.18892
|
| |
|
z3siri-base |
sat ✅
|
0.30250
|
0.17572
|