Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node12517.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 12517 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
Size2398
Compressed Size962
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 2390
Compressed Size971
Max. Term Depth23
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
=2 exists1 let2 Real1
/5 +9 -1 *15
<3 <=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01846 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.25985 0.24196
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 99.62840 99.65490
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00857 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.73000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.51400 360.63600
Z3 z3 4.4.0 default unsat ✅ 29.75680 29.76850
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.24404 0.24452
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 7.89019 7.93731
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.82346 1.49114
Z3 z3-4.4.1 default unsat ✅ 0.94348 0.94520
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.05478 0.05443
Redlog Redlog default unsat ✅ 0.21337 0.21338
Vampire vampire4.2-smt vampire unsat ✅ 0.06840 0.06693
veriT veriT+Redlog_20170618 default unsat ✅ 0.20357 0.20616
Z3 z3-4.5.0 default unsat ✅ 0.04382 0.04319
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.03209 0.03229
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08128 0.11648
Z3 z3-4.7.1_default unsat ✅ 4.65009 4.64584
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.03646 0.03681
Par4 Par4-wrapped-sq_default unsat ✅ 0.04104 0.00609
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.46508 3.42168
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.58063 3.49820
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.20688 0.22282
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.11192 0.15001
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.08184 0.08185
z3-4.7.1_default unsat ✅ 0.08309 0.08306
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.03793 0.03825
Par4 Par4-wrapped-sq_default unsat ✅ 0.04209 0.00577
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.31783 3.57086
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.14319 0.09161
Z3 z3-4.8.8_default unsat ✅ 0.03515 0.03511
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.06996 0.06970
cvc5 cvc5-fixed_default unsat ✅ 0.05126 0.05183
Par4 Par4-wrapped-sq_default unsat ✅ 0.04351 0.00616
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 6.91738 8.07867
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.11456 0.11164
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03737 0.03743
Z3 z3-4.8.11_default unsat ✅ 0.02004 0.02000
z3-4.8.8_default unsat ✅ 0.03570 0.03568
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07372 0.07431
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.17144 5.25853
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.11389 0.11351
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03642 0.03645
Z3 z3-4.8.17_default unsat ✅ 0.02058 0.02236
z3-4.8.11_default unsat ✅ 0.02114 0.02070
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04021 0.04078
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65108 1.97000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.04000 1204.00000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10837 0.10725
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.07532 0.07535
Z3 z3-4.8.11_default unsat ✅ 0.02174 0.02041
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23902 0.13677
iProver iProver v3.9 unsat ✅ 0.90190 1.40284
SMTInterpol SMTInterpol unknown ❌ 0.59577 1.01718
SMT-RAT SMT-RAT unsat ✅ 0.30522 0.20370
YicesQS YicesQS unsat ✅ 0.25768 0.15543
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29030 0.17067
iProver iProver v3.9.3 unsat ✅ 1.39192 2.93468
SMTInterpol SMTInterpol unknown ❌ 0.56457 0.85500
SMT-RAT SMT-RAT unsat ✅ 0.28656 0.16199
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 2.03623 4.20664
YicesQS YicesQS unsat ✅ 0.28724 0.15962
Z3alpha Z3-alpha unsat ✅ 0.45580 0.37092
Z3 Z3-alpha-base unsat ✅ 0.31520 0.18728