Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_5b.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-Bottema1.5b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.5 (isosceles right triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let f be the line through M perpendicular to c. Let C be the intersection point of d, f. Let a be the segment C, B. Let b be the segment A, C. Compare a^3 + b^3 + c^3 and (a + b) (b + c) (c + a).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1554 |
| Compressed Size | 732 |
| 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 | 1544 |
| Compressed Size | 736 |
| 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 ✅
|
0.03858
|
0.03912
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.08000
|
1199.94000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02978
|
0.02985
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03466
|
0.00663
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01226
|
0.01101
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01409
|
0.01402
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01764
|
0.01758
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01880
|
0.02067
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28648
|
0.28654
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02573
|
0.02629
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.03068
|
0.03070
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02665
|
0.00628
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.29369
|
0.29362
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01840
|
0.01775
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02481
|
0.02500
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28726
|
0.28730
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29035
|
0.29043
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22642
|
0.12684
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40733
|
0.41457
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23446
|
0.13496
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24791
|
0.14859
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27236
|
0.17268
|