Benchmark

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

IsoTriangle-Bottema8.1b:
 Comparison of Sum of Medians and Perimeter via realgeom, Bottema 8.1 (isosceles triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let g be the perpendicular bisector of c. Let C be a point on g. Let b be the segment A, C. Let D be the midpoint of A, B. Let E be the midpoint of A, C. Let m_c be the segment C, D. Let m_b be the segment E, B. Compare 2m_b + m_c and 2b + c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1382
Compressed Size683
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 1372
Compressed Size686
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =5 +4 -6
*16 <5

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 ✅ 0.03243 0.03297
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.09000 1199.97000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.02416 0.02418
Par4 Par4-wrapped-sq_default sat ✅ 0.03050 0.00718
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 5.68740 5.68707
veriT veriT+raSAT+Redlog_default sat ✅ 0.01365 0.01359
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01503 0.01215
Z3 z3-4.8.17_default sat ✅ 0.02506 0.02698
Z3++ z3++0715_default sat ✅ 0.29332 0.29336
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.30100 0.16990
SMTInterpol SMTInterpol unknown ❌ 0.42866 0.40667
SMT-RAT SMT-RAT sat ✅ 0.29084 0.16392
Yices2 Yices2 sat ✅ 0.29644 0.16695
Z3alpha Z3-alpha sat ✅ 0.59980 0.48664
Z3 Z3-alpha-base sat ✅ 0.32258 0.19367
z3siri-base sat ✅ 0.29870 0.17576