Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_14.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.

Triangle-Bottema1.14:
 Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.14):Let A, B, C be arbitrary points. Let t1 be the polygon A, B, C. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Compare (a + b + c) a^2 b^2 c^2 and a b c(a^2 b^2 + b^2 c^2 + c^2 a^2).

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1419
Compressed Size661
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 1409
Compressed Size663
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =5 +5 -8
*30 <4

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 ✅ 0.07051 0.07091
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.05000 1199.95000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.12165 0.12157
Par4 Par4-wrapped-sq_default sat ✅ 0.03375 0.00643
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 39.86320 39.86290
veriT veriT+raSAT+Redlog_default sat ✅ 0.18187 0.18275
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02466 0.02459
Z3 z3-4.8.17_default sat ✅ 0.01967 0.02153
Z3++ z3++0715_default sat ✅ 0.28840 0.28849
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.23034 0.13110
SMTInterpol SMTInterpol unknown ❌ 0.40886 0.41643
SMT-RAT SMT-RAT sat ✅ 0.23297 0.13339
Yices2 Yices2 sat ✅ 0.21952 0.11974
Z3alpha Z3-alpha sat ✅ 0.26568 0.16605