Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node5581.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 5581 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
Size2144
Compressed Size901
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 2136
Compressed Size907
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
=3 exists1 let2 Real1
/3 +6 -1 *8
<1 <=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01736 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.06535 0.05399
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02361 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00859 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01424 0.01200
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01425 0.01100
Z3 z3 4.4.0 default unsat ✅ 11.11380 11.11830
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01582 0.01607
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05642 0.05693
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.06710 0.04321
Z3 z3-4.4.1 default unsat ✅ 8.22509 8.23110
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01583 0.01511
Redlog Redlog default unsat ✅ 0.15351 0.15446
Vampire vampire4.2-smt vampire unsat ✅ 0.04192 0.04045
veriT veriT+Redlog_20170618 default unsat ✅ 0.14983 0.14994
Z3 z3-4.5.0 default unsat ✅ 0.05082 0.05072
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02063 0.02078
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 3.90389 15.19000
Z3 z3-4.7.1_default unsat ✅ 0.04967 0.04958
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02170 0.02207
Par4 Par4-wrapped-sq_default unsat ✅ 0.02880 0.00577
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.38996 3.39854
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.35826 3.39676
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.66222 2.13000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 96.45750 383.13000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.07945 0.07946
z3-4.7.1_default unsat ✅ 0.07925 0.07922
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02113 0.02145
Par4 Par4-wrapped-sq_default unsat ✅ 0.03355 0.00611
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.31215 3.51270
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.06041 0.05887
Z3 z3-4.8.8_default unsat ✅ 0.03690 0.03687
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02159 0.02190
cvc5 cvc5-fixed_default unsat ✅ 0.02464 0.02515
Par4 Par4-wrapped-sq_default unsat ✅ 0.03050 0.00612
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.06050 5.07992
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05706 0.05692
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03246 0.03252
Z3 z3-4.8.11_default unsat ✅ 0.02065 0.02062
z3-4.8.8_default unsat ✅ 0.03594 0.03590
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03358 0.03419
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.12000 1203.72000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16881 0.16065
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03239 0.03241
Z3 z3-4.8.17_default unsat ✅ 0.02086 0.02266
z3-4.8.11_default unsat ✅ 0.02094 0.02088
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02412 0.02471
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.64981 1.04441
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.04000 1204.02000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06273 0.06264
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03342 0.03346
Z3 z3-4.8.11_default unsat ✅ 0.03046 0.03039
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22515 0.12584
iProver iProver v3.9 unsat ✅ 0.84249 2.01770
SMTInterpol SMTInterpol unsat ✅ 0.52528 0.74406
SMT-RAT SMT-RAT unsat ✅ 0.23644 0.13691
YicesQS YicesQS unsat ✅ 0.23519 0.13557
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29254 0.17209
iProver iProver v3.9.3 unsat ✅ 1.35422 2.94506
SMTInterpol SMTInterpol unsat ✅ 0.53899 0.68878
SMT-RAT SMT-RAT unsat ✅ 0.29274 0.16688
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79353 1204.87582
YicesQS YicesQS unsat ✅ 0.28396 0.16650
Z3alpha Z3-alpha unsat ✅ 0.39305 0.27916
Z3 Z3-alpha-base unsat ✅ 0.29246 0.17264