Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Odom-GoldenRatio-RegTriangle.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.

Odom-GoldenRatio-RegTriangle:
 Constructing the Golden Ratio (Odom's theorem, 1983):Let X, Y be arbitrary points. Let poly1 be the regular 3-gon with vertices X, Y, Z. Let g be the segment Y, Z. Let h be the segment Z, X. Let c be the circle through X, Y, Z. Let S be the midpoint of g. Let A be the midpoint of h. Let i be the line S, A. Let B be the intersection of c and i. Let AS be the segment A, S. Let SB be the segment S, B. Compare segment A, S and segment S, B.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1467
Compressed Size713
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 1457
Compressed Size714
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 =6 +6 -8
*21 <3

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 ✅ 0.03556 0.03606
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.01000 1199.84000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.02696 0.02700
Par4 Par4-wrapped-sq_default sat ✅ 0.03016 0.00660
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02303 0.02300
veriT veriT+raSAT+Redlog_default sat ✅ 0.61390 0.61546
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02182 0.02179
Z3 z3-4.8.17_default sat ✅ 0.01972 0.02155
Z3++ z3++0715_default sat ✅ 0.28491 0.28497
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.30532 0.17122
SMTInterpol SMTInterpol unknown ❌ 0.45226 0.43783
SMT-RAT SMT-RAT sat ✅ 0.25932 0.13888
Yices2 Yices2 sat ✅ 0.30079 0.16987
Z3alpha Z3-alpha sat ✅ 0.59738 0.48171
Z3 Z3-alpha-base sat ✅ 0.33415 0.20536
z3siri-base sat ✅ 0.35220 0.22065