Benchmark

non-incremental/NRA/keymaera/bouncing-ball-simple-node5981.smt2

These benchmarks used in the paper:

  Dejan Jovanovic and Leonardo de Moura.  Solving Non-Linear Arithmetic.
  In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.

The keymaera family contains VCs from Keymaera verification, see:

  A. Platzer, J.-D. Quesel, and P. Rummer.  Real world verification.
  In CADE 2009, pages 485-501. Springer, 2009.

Submitted by Dejan Jovanovic for SMT-LIB.

 KeYmaera example: bouncing-ball-simple, node 5981 For more info see: No further information available.
Benchmark
Size1821
Compressed Size707
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2014-07-21
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 1813
Compressed Size708
Max. Term Depth17
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and9 =>2
=4 exists1 Real1 /2
+7 -3 *10 <=5
>=4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.04992 0.04886
Redlog Redlog default unsat ✅ 0.15925 0.16085
Vampire vampire4.2-smt vampire unsat ✅ 0.17455 0.16869
veriT veriT+Redlog_20170618 default unsat ✅ 0.15837 0.15828
Z3 z3-4.5.0 default unsat ✅ 0.05056 0.04434
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.08886 0.08906
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 596.62100 2373.13000
Z3 z3-4.7.1_default unsat ✅ 0.03880 0.03907
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.12187 0.12224
Par4 Par4-wrapped-sq_default unsat ✅ 0.04558 0.00596
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.37725 3.44869
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.41726 3.33882
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.50975 0.46017
vampire-4.3-smt_vampire_smtcomp unsat ✅ 421.83100 1676.04000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04015 0.04011
z3-4.7.1_default unsat ✅ 0.03898 0.03892
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.10531 0.10563
Par4 Par4-wrapped-sq_default unsat ✅ 0.06007 0.00796
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.49688 3.52299
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.29634 0.24348
Z3 z3-4.8.8_default unsat ✅ 0.04375 0.04372
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.10313 0.10343
cvc5 cvc5-fixed_default unsat ✅ 0.21534 0.21545
Par4 Par4-wrapped-sq_default unsat ✅ 0.05217 0.00610
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.94955 4.87731
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.14892 0.13693
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.07031 0.07032
Z3 z3-4.8.11_default unsat ✅ 0.01948 0.01944
z3-4.8.8_default unsat ✅ 0.03556 0.03554
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.23180 0.23234
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.08000 1203.62000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.17680 0.17510
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.08329 0.08333
Z3 z3-4.8.17_default unsat ✅ 0.02028 0.02194
z3-4.8.11_default unsat ✅ 0.01996 0.01992
SMT-COMP 2023 0.33 (4/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.13718 0.13773
iProver iProver-3.8-fix_iprover_SMT unknown ❌ 1200.06000 4712.73000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.05000 1203.69000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.20297 0.20316
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.06324 0.06328
Z3 z3-4.8.11_default unsat ✅ 0.02708 0.02700
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.27668 0.17633
iProver iProver v3.9 unsat ✅ 39.97733 148.03091
SMTInterpol SMTInterpol unknown ❌ 0.42615 0.46403
SMT-RAT SMT-RAT unsat ✅ 0.22123 0.12124
YicesQS YicesQS unsat ✅ 0.24410 0.14463
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.28872 0.16565
iProver iProver v3.9.3 unsat ✅ 14.46115 49.77018
SMTInterpol SMTInterpol unknown ❌ 0.43861 0.45108
SMT-RAT SMT-RAT unsat ✅ 0.28750 0.16164
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.77315 1204.27501
YicesQS YicesQS unsat ✅ 0.36190 0.23167
Z3alpha Z3-alpha unsat ✅ 0.38824 0.27854
Z3 Z3-alpha-base unsat ✅ 0.31471 0.19035