Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema8_1b.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.
RightTriangle-Bottema8.1b:
Comparison of Sum of Medians and Perimeter via realgeom, Bottema 8.1 (right triangle, ver. b1):Let C, B be arbitrary points. Let a be the segment C, B. Let f be the line through C perpendicular to a. Let A be a point on f. Let c be the segment A, B. Let b be the segment C, A. Let M3 be the midpoint of c. Let m_c be the segment C, M3. Let M1 be the midpoint of a. Let M2 be the midpoint of b. Let m_a be the segment A, M1. Let m_b be the segment B, M2. Compare m_a + m_b + m_c and a + b + c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1651 |
| Compressed Size | 740 |
| 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 | unknown |
| Inferred Status | sat |
| Size | 1641 |
| Compressed Size | 739 |
| 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
|
0.78 (2/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unknown ❌
|
1200.01000
|
1199.87000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1199.90000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.04000
|
1169.85000
|
| |
Par4 |
Par4-wrapped-sq_default |
unknown ❌
|
1200.11000
|
3546.66000
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unknown ❌
|
1200.05000
|
1199.89000
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.92239
|
0.92224
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unknown ❌
|
1200.12000
|
1199.97000
|
| |
Z3 |
z3-4.8.17_default |
unknown ❌
|
1200.11000
|
1199.80000
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30384
|
0.30391
|
|
SMT-COMP 2023
|
0.71 (2/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.02000
|
1197.88000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1174.97000
|
1170.49000
|
| |
Par4 |
Par4-wrapped-sq_default |
unknown ❌
|
1200.05000
|
3597.63000
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.23788
|
0.23756
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.05000
|
1199.98000
|
| |
Z3alpha |
z3alpha_default |
unknown ❌
|
1200.02000
|
1199.88000
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30339
|
0.30341
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30769
|
0.30759
|
|
SMT-COMP 2024
|
0.80 (1/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.71288
|
1201.09928
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40893
|
0.41947
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.72086
|
1200.92153
|
| |
Yices2 |
Yices2 |
unknown ❌
|
1201.21462
|
1200.98938
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
601.27126
|
600.86450
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.77517
|
1201.00384
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47088
|
0.45199
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.71158
|
0.59116
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.52566
|
0.40767
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58058
|
0.49469
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28122
|
0.16626
|
| |
|
z3siri-base |
sat ✅
|
0.31077
|
0.18327
|