Benchmark

non-incremental/NRA/keymaera/controllability-lemma-node1346.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: controllability-lemma, node 1346 For more info see: @see "Andre Platzer and Jan-David Quesel. European Train Control System: A case study in formal verification. In Karin Breitman and Ana Cavalcanti, editors, 11th International Conference on Formal Engineering Methods, ICFEM, Rio de Janeiro, Brasil, Proceedings, volume 5885 of LNCS, pages 246-265. Springer, 2009."
Benchmark
Size1570
Compressed Size836
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 1562
Compressed Size840
Max. Term Depth18
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and5 =>5 forall1
exists1 let1 Real2 /1
+4 -3 *13 <=5
>1 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.01635 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 2399.12000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.03662 0.02899
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00858 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2401.01000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 180.12700 180.15300
Z3 z3 4.4.0 default unknown ❌ 0.04648 0.04599
SMT-COMP 2016 1.00 (0/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.03981 0.04031
Vampire vampire_smt_4.1 vampire_smtcomp unknown ❌ 999.93000 1004.30000
vampire_smt_4.1_parallel vampire_smtcomp unknown ❌ 1007.22000 3973.79000
Z3 z3-4.4.1 default unknown ❌ 0.05207 0.05329
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.09400 598.88500
Redlog Redlog default unsat ✅ 0.15680 0.15761
Vampire vampire4.2-smt vampire unknown ❌ 600.04600 2383.48000
veriT veriT+Redlog_20170618 default unsat ✅ 0.17398 0.17626
Z3 z3-4.5.0 default unsat ✅ 0.04706 0.04606
SMT-COMP 2018 0.67 (1/3) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.02000 1196.74000
Vampire vampire-4.3-smt_vampire_smtcomp unknown ❌ 1200.07000 4774.76000
Z3 z3-4.7.1_default unsat ✅ 0.03893 0.03883
SMT-COMP 2019 0.60 (2/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.06000 2354.98000
Par4 Par4-wrapped-sq_default unsat ✅ 0.04563 0.00599
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.37355 3.43923
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.35690 3.36484
Vampire vampire-4.4-smtcomp-wrapped-sq_default unknown ❌ 2400.06000 9259.14000
vampire-4.3-smt_vampire_smtcomp unknown ❌ 2400.07000 9537.77000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04144 0.04145
z3-4.7.1_default unsat ✅ 0.03906 0.03896
SMT-COMP 2020 0.60 (2/5) CVC4 CVC4-sq-final_default unknown ❌ 1200.03000 1196.90000
Par4 Par4-wrapped-sq_default unsat ✅ 0.04844 0.00628
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.44929 3.47742
Vampire vampire_smt_4.5_vampire_smtcomp unknown ❌ 1200.04000 4527.14000
Z3 z3-4.8.8_default unsat ✅ 0.04259 0.04256
SMT-COMP 2021 0.57 (3/7) CVC4 CVC4-sq-final_default unknown ❌ 1200.03000 1196.87000
cvc5 cvc5-fixed_default unknown ❌ 1200.02000 1199.26000
Par4 Par4-wrapped-sq_default unsat ✅ 0.05571 0.00634
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.93869 4.85541
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4656.70000
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.08724 0.08726
Z3 z3-4.8.11_default unsat ✅ 0.02853 0.02848
z3-4.8.8_default unsat ✅ 0.03934 0.03928
SMT-COMP 2022 0.60 (2/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.05000 1198.98000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.83058 4.94826
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unknown ❌ 1200.06000 4790.35000
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.05176 0.05176
Z3 z3-4.8.17_default unsat ✅ 0.02082 0.02264
z3-4.8.11_default unsat ✅ 0.02332 0.02329
SMT-COMP 2023 0.67 (2/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1199.89000
iProver iProver-3.8-fix_iprover_SMT unknown ❌ 1200.04000 4749.91000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.92469 5.19137
Vampire vampire_4.8_smt_pre_vampire_smtcomp unknown ❌ 1200.10000 4763.76000
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.05175 0.05179
Z3 z3-4.8.11_default unsat ✅ 0.01949 0.01943
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unknown ❌ 1201.71213 1200.68158
iProver iProver v3.9 unsat ✅ 540.39498 2137.39984
SMTInterpol SMTInterpol unknown ❌ 0.45469 0.59846
SMT-RAT SMT-RAT unsat ✅ 0.22400 0.12416
YicesQS YicesQS unsat ✅ 0.25549 0.15600
SMT-COMP 2025 0.50 (4/8) cvc5 cvc5 unknown ❌ 1201.76835 1200.99616
iProver iProver v3.9.3 unknown ❌ 1201.77047 4776.29626
SMTInterpol SMTInterpol unknown ❌ 0.56058 0.72395
SMT-RAT SMT-RAT unsat ✅ 0.27113 0.14667
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.09078 4.64507
YicesQS YicesQS unsat ✅ 0.31161 0.18316
Z3alpha Z3-alpha unsat ✅ 0.40974 0.35412
Z3 Z3-alpha-base unsat ✅ 0.32190 0.19148