Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node50605.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 50605 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
Size2314
Compressed Size936
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 2306
Compressed Size951
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 and16 =>2
=2 exists1 let2 Real1
/4 +7 -1 *12
<1 <=6 >6 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01649 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.24058 0.22496
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.03304 0.02200
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00869 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.58000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.51400 360.58600
Z3 z3 4.4.0 default unsat ✅ 0.05972 0.05999
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.22372 0.22428
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.18265 0.18349
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.15269 0.08449
Z3 z3-4.4.1 default unsat ✅ 0.08181 0.08375
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.18812 0.18713
Redlog Redlog default unsat ✅ 0.14988 0.15072
Vampire vampire4.2-smt vampire unsat ✅ 0.06609 0.06483
veriT veriT+Redlog_20170618 default unsat ✅ 0.14546 0.14570
Z3 z3-4.5.0 default unsat ✅ 0.04340 0.04283
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 2.17846 2.17858
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10717 0.14243
Z3 z3-4.7.1_default unsat ✅ 0.17836 0.17826
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 1.40966 1.41000
Par4 Par4-wrapped-sq_default unsat ✅ 0.18090 0.00600
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.46542 3.44514
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.35835 3.36888
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10162 0.10148
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.13137 0.15767
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.16584 0.16583
z3-4.7.1_default unsat ✅ 0.17358 0.17354
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 1.34769 1.34798
Par4 Par4-wrapped-sq_default unsat ✅ 0.15040 0.00727
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.46456 3.44899
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.12946 0.08849
Z3 z3-4.8.8_default unsat ✅ 0.03381 0.03375
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 1.62395 1.62429
cvc5 cvc5-fixed_default unsat ✅ 1.96213 1.96105
Par4 Par4-wrapped-sq_default unsat ✅ 0.18314 0.00653
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.60000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10395 0.10522
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05279 0.05282
Z3 z3-4.8.11_default unsat ✅ 0.01874 0.01870
z3-4.8.8_default unsat ✅ 0.03399 0.03395
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.12486 0.12527
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.05000 1203.89000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16566 0.09508
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04383 0.04386
Z3 z3-4.8.17_default unsat ✅ 0.01961 0.02149
z3-4.8.11_default unsat ✅ 0.01931 0.01924
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.08236 0.08295
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65366 1.98000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.04000 1203.76000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.15036 0.14924
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04309 0.04312
Z3 z3-4.8.11_default unsat ✅ 0.01879 0.01874
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24874 0.14611
iProver iProver v3.9 unsat ✅ 0.84069 1.46759
SMTInterpol SMTInterpol unknown ❌ 0.59500 1.00230
SMT-RAT SMT-RAT unsat ✅ 1.32184 1.22226
YicesQS YicesQS unsat ✅ 0.25761 0.15761
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.28105 0.16293
iProver iProver v3.9.3 unsat ✅ 0.86707 1.22657
SMTInterpol SMTInterpol unknown ❌ 0.59622 0.88614
SMT-RAT SMT-RAT unsat ✅ 0.25961 0.14455
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.74706 1204.75421
YicesQS YicesQS unsat ✅ 0.26688 0.15289
Z3alpha Z3-alpha unsat ✅ 0.43372 0.34820
Z3 Z3-alpha-base unsat ✅ 0.28957 0.16198