Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Area_Perimeter_a.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.
Triangle-Area_Perimeter_a:
Comparision of Perimeter and Area via realgeom (generic triangle, ver. a):Let A, B, C be arbitrary points. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Let i be the line through C perpendicular to c. Let D be the intersection of i and c. Let h_c be the segment C, D. Compare (a + b + c)^2 and c h_c / 2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1526 |
| Compressed Size | 700 |
| 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 | 1516 |
| Compressed Size | 704 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 8 |
| 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 ✅
|
0.07936
|
0.07979
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.95000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.08271
|
0.08277
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05295
|
0.00664
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.25031
|
0.25025
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.78491
|
0.78661
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.05416
|
0.05407
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02072
|
0.02259
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28411
|
0.28416
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22866
|
0.12912
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41189
|
0.42271
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.50409
|
0.40414
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21742
|
0.11757
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.28231
|
0.18290
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30374
|
0.17654
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.48356
|
0.45130
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26472
|
0.14552
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25544
|
0.13567
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58120
|
0.47594
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27762
|
0.15808
|
| |
|
z3siri-base |
sat ✅
|
0.30475
|
0.17497
|