Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-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.

IsoRightTriangle-Bottema8.1b:
 Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 8.1 (isosceles right triangle, ver. b):Let B, A be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let f be the line through M perpendicular to c. Let d be the circle through B with center M. Let C be the intersection point of d, f. Let M_B be the midpoint of A, C. Let m_b be the segment M_B, B. Let m_c be the segment M, C. Let a be the segment C, B. Let b be the segment A, C. Compare m_c + 2m_b and a + b + c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1647
Compressed Size758
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2022-08-10
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 1637
Compressed Size762
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =7 +6 -9
*24 <6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.22 (7/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 43.32010 43.31910
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.95000
NRA-LS NRA-LS-FINAL_default sat ✅ 41.61680 41.61640
Par4 Par4-wrapped-sq_default sat ✅ 0.08047 0.00867
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.12701 0.12697
veriT veriT+raSAT+Redlog_default sat ✅ 0.05738 0.05732
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.04000 1199.87000
Z3 z3-4.8.17_default sat ✅ 0.03255 0.03451
Z3++ z3++0715_default sat ✅ 0.29892 0.29897
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 41.34560 41.33610
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 42.03580 42.03390
Par4 Par4-wrapped-sq_default sat ✅ 0.05471 0.00649
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.78180 0.78176
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 3.58849 3.58847
Z3alpha z3alpha_default sat ✅ 0.03886 0.03908
Z3++ z3++0715_default sat ✅ 0.29303 0.29308
Z3++_sq_0526_default sat ✅ 0.30688 0.30691