Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node41456.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: intersection-example-onelane.proof, node 41456 For more info see: @see "Sarah M. Loos and Andre Platzer. Safe intersections: At the crossing of hybrid systems and verification. In Kyongsu Yi, editor, 14th International IEEE Conference on Intelligent Transportation Systems, ITSC 2011, Washington, DC, USA, Proceedings. 2011."
Benchmark
Size2249
Compressed Size919
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 2241
Compressed Size929
Max. Term Depth22
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and17 =>2
=3 exists1 let1 Real1
/3 +6 *11 <2
<=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01811 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.02303 0.00800
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02832 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00872 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01064 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01066 0.00700
Z3 z3 4.4.0 default unsat ✅ 0.34461 0.34495
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01148 0.01135
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.04941 0.04983
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05162 0.05155
Z3 z3-4.4.1 default unsat ✅ 0.41127 0.41284
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01306 0.01208
Redlog Redlog default unsat ✅ 0.14761 0.14777
Vampire vampire4.2-smt vampire unsat ✅ 0.03909 0.03834
veriT veriT+Redlog_20170618 default unsat ✅ 0.14749 0.14764
Z3 z3-4.5.0 default unsat ✅ 0.04364 0.04271
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01266 0.01286
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.04190 0.07643
Z3 z3-4.7.1_default unsat ✅ 141.32300 141.31400
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01739 0.01777
Par4 Par4-wrapped-sq_default unsat ✅ 0.02738 0.00559
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.46162 3.49638
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.51919 3.36078
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10303 0.09769
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.04323 0.04302
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04431 0.04431
z3-4.7.1_default unsat ✅ 0.04366 0.04363
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01660 0.01690
Par4 Par4-wrapped-sq_default unsat ✅ 0.02400 0.00731
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.53366 3.53669
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.04559 0.04544
Z3 z3-4.8.8_default unsat ✅ 0.03406 0.03403
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.01700 0.01734
cvc5 cvc5-fixed_default unsat ✅ 0.02020 0.02081
Par4 Par4-wrapped-sq_default unsat ✅ 0.02282 0.00608
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 2.88724 4.78934
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.06282 0.05728
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03247 0.03250
Z3 z3-4.8.11_default unsat ✅ 0.01853 0.01847
z3-4.8.8_default unsat ✅ 0.03439 0.03433
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02574 0.02637
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unsat ✅ 2.77306 4.76034
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.05041 0.04907
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03252 0.03258
Z3 z3-4.8.17_default unsat ✅ 0.01935 0.02121
z3-4.8.11_default unsat ✅ 0.01919 0.01916
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.01943 0.01994
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65121 0.37734
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unsat ✅ 2.76521 4.73448
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.05366 0.05205
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03387 0.03391
Z3 z3-4.8.11_default unsat ✅ 0.01793 0.01789
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22174 0.12104
iProver iProver v3.9 unsat ✅ 0.84140 0.53692
SMTInterpol SMTInterpol unsat ✅ 0.51023 0.66689
SMT-RAT SMT-RAT unsat ✅ 0.42811 0.32819
YicesQS YicesQS unsat ✅ 0.23158 0.13167
SMT-COMP 2025 cvc5 cvc5 unsat ✅ 0.25808 0.13955
iProver iProver v3.9.3 unsat ✅ 0.90093 0.54784
SMTInterpol SMTInterpol unsat ✅ 0.52122 0.62613
SMT-RAT SMT-RAT unsat ✅ 0.24975 0.13411
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 1.90217 4.11761
YicesQS YicesQS unsat ✅ 0.30894 0.18183
Z3alpha Z3-alpha unsat ✅ 0.39145 0.27555
Z3 Z3-alpha-base unsat ✅ 0.29780 0.17801