Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node25171.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 25171 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
Size2032
Compressed Size862
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 2024
Compressed Size866
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 and16 =>2 =2
exists1 let2 Real1 /1
+3 -1 *4 <1
<=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01625 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03740 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02243 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00883 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01335 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01313 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.04088 0.04099
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01403 0.01422
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06131 0.06169
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08756 0.03969
Z3 z3-4.4.1 default unsat ✅ 0.04144 0.04270
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01433 0.01390
Redlog Redlog default unsat ✅ 0.15467 0.15524
Vampire vampire4.2-smt vampire unsat ✅ 0.05401 0.04245
veriT veriT+Redlog_20170618 default unsat ✅ 0.14856 0.14792
Z3 z3-4.5.0 default unsat ✅ 0.04283 0.04154
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01861 0.01879
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.78091 2.85000
Z3 z3-4.7.1_default unsat ✅ 0.04271 0.04261
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02072 0.02105
Par4 Par4-wrapped-sq_default unsat ✅ 0.02813 0.00615
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.41816 3.39118
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.36678 3.43796
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.11622 0.11536
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.13034 0.17136
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04325 0.04325
z3-4.7.1_default unsat ✅ 0.04261 0.04253
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01926 0.01955
Par4 Par4-wrapped-sq_default unsat ✅ 0.03050 0.00783
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.43497 3.56537
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.10810 0.06149
Z3 z3-4.8.8_default unsat ✅ 0.03403 0.03398
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02097 0.02126
cvc5 cvc5-fixed_default unsat ✅ 0.02339 0.02393
Par4 Par4-wrapped-sq_default unsat ✅ 0.05029 0.00860
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.98226 5.01203
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.24058 0.24084
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04189 0.04191
Z3 z3-4.8.11_default unsat ✅ 0.01800 0.01795
z3-4.8.8_default unsat ✅ 0.03459 0.03454
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02990 0.03045
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.08927 4.88425
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10375 0.10210
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03194 0.03197
Z3 z3-4.8.17_default unsat ✅ 0.01888 0.02079
z3-4.8.11_default unsat ✅ 0.01880 0.01874
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02298 0.02350
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.66124 0.99000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.12511 5.25313
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06820 0.06788
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04382 0.04387
Z3 z3-4.8.11_default unsat ✅ 0.01867 0.01863
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22867 0.12625
iProver iProver v3.9 unsat ✅ 0.85730 1.61180
SMTInterpol SMTInterpol unsat ✅ 0.51847 0.69898
SMT-RAT SMT-RAT unsat ✅ 0.22870 0.12888
YicesQS YicesQS unsat ✅ 0.23257 0.13273
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30041 0.17557
iProver iProver v3.9.3 unsat ✅ 0.87205 2.21116
SMTInterpol SMTInterpol unsat ✅ 0.56715 0.69761
SMT-RAT SMT-RAT unsat ✅ 0.28369 0.16224
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.17406 4.78086
YicesQS YicesQS unsat ✅ 0.30575 0.17967
Z3alpha Z3-alpha unsat ✅ 0.38512 0.26964
Z3 Z3-alpha-base unsat ✅ 0.29972 0.17829