Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_4a.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-Bottema1.4a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.4 (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) (b + c) (c + a) and a b c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1388 |
| Compressed Size | 696 |
| 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 | 1378 |
| Compressed Size | 691 |
| 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 ✅
|
0.06044
|
0.06099
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05082
|
0.05087
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03114
|
0.00735
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02807
|
0.02802
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.19200
|
0.19361
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01638
|
0.01358
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01998
|
0.02196
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28158
|
0.28164
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03438
|
0.03472
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05598
|
0.05606
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02107
|
0.00743
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02024
|
0.02021
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01142
|
0.01137
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02324
|
0.02337
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28399
|
0.28409
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29508
|
0.29500
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23164
|
0.13216
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41276
|
0.42254
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.34634
|
0.24641
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21805
|
0.11832
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26764
|
0.16787
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30163
|
0.17604
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44776
|
0.42541
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.33875
|
0.21479
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29301
|
0.16595
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.56863
|
0.45784
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31514
|
0.18771
|
| |
|
z3siri-base |
sat ✅
|
0.29810
|
0.17551
|