Benchmark

non-incremental/NRA/keymaera/controllability-lemma-disturbed.proof-node770.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-disturbed.proof, node 770 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
Size1737
Compressed Size887
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 1729
Compressed Size888
Max. Term Depth20
Asserts 1
Declared Functions0
Declared Constants9
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and7 =>5 forall1
exists1 let1 Real2 /1
+7 -4 *16 <=5
>1 >=7

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00874 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 2398.91000 2400.08000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.12000 2400.09000
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00851 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.71000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 180.24400 180.26500
Z3 z3 4.4.0 default unknown ❌ 0.05450 0.05399
SMT-COMP 2016 1.00 (0/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.05209 0.05258
Vampire vampire_smt_4.1 vampire_smtcomp unknown ❌ 1000.02000 1004.47000
vampire_smt_4.1_parallel vampire_smtcomp unknown ❌ 1025.76000 4014.17000
Z3 z3-4.4.1 default unknown ❌ 0.04642 0.04760
SMT-COMP 2017 0.40 (3/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 300.68700 300.14200
Redlog Redlog default unsat ✅ 0.17742 0.17696
Vampire vampire4.2-smt vampire unknown ❌ 600.07800 2383.08000
veriT veriT+Redlog_20170618 default unsat ✅ 0.28013 0.28455
Z3 z3-4.5.0 default unsat ✅ 0.04548 0.04447
SMT-COMP 2018 0.67 (1/3) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.05000 1196.00000
Vampire vampire-4.3-smt_vampire_smtcomp unknown ❌ 1200.08000 4772.04000
Z3 z3-4.7.1_default unsat ✅ 0.04018 0.03992
SMT-COMP 2019 0.60 (2/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.03000 2378.02000
Par4 Par4-wrapped-sq_default unsat ✅ 0.05302 0.00575
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.42750 3.45059
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.34010 3.43996
Vampire vampire-4.4-smtcomp-wrapped-sq_default unknown ❌ 2400.06000 9294.68000
vampire-4.3-smt_vampire_smtcomp unknown ❌ 2400.11000 9536.39000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04531 0.04530
z3-4.7.1_default unsat ✅ 0.04061 0.04054
SMT-COMP 2020 0.60 (2/5) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1175.35000
Par4 Par4-wrapped-sq_default unsat ✅ 0.04750 0.00613
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.41713 3.56064
Vampire vampire_smt_4.5_vampire_smtcomp unknown ❌ 1200.03000 4499.20000
Z3 z3-4.8.8_default unsat ✅ 0.03692 0.03686
SMT-COMP 2021 0.57 (3/7) CVC4 CVC4-sq-final_default unknown ❌ 1200.03000 1187.21000
cvc5 cvc5-fixed_default unknown ❌ 1200.03000 1190.96000
Par4 Par4-wrapped-sq_default unsat ✅ 0.04824 0.00632
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.33901 5.33558
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4677.55000
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.15921 0.15923
Z3 z3-4.8.11_default unsat ✅ 0.02241 0.02235
z3-4.8.8_default unsat ✅ 0.03796 0.03790
SMT-COMP 2022 0.60 (2/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.03000 1199.84000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.09362 5.07327
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unknown ❌ 1200.05000 4762.00000
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.10240 0.10241
Z3 z3-4.8.17_default unsat ✅ 0.02238 0.02418
z3-4.8.11_default unsat ✅ 0.02202 0.02196
SMT-COMP 2023 0.67 (2/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.12000 1199.95000
iProver iProver-3.8-fix_iprover_SMT unknown ❌ 1200.04000 4746.60000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.98590 5.16683
Vampire vampire_4.8_smt_pre_vampire_smtcomp unknown ❌ 1200.11000 4787.32000
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.09996 0.09998
Z3 z3-4.8.11_default unsat ✅ 0.02240 0.02237
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unknown ❌ 1201.71246 1200.65900
iProver iProver v3.9 unsat ✅ 552.07662 2185.38070
SMTInterpol SMTInterpol unknown ❌ 0.50829 0.74627
SMT-RAT SMT-RAT unsat ✅ 0.22125 0.12128
YicesQS YicesQS unsat ✅ 0.28456 0.18424
SMT-COMP 2025 0.50 (4/8) cvc5 cvc5 unknown ❌ 1201.74838 1200.95982
iProver iProver v3.9.3 unknown ❌ 1201.83595 4777.94686
SMTInterpol SMTInterpol unknown ❌ 0.57423 0.80808
SMT-RAT SMT-RAT unsat ✅ 0.28714 0.16365
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79169 1204.91258
YicesQS YicesQS unsat ✅ 0.33335 0.21559
Z3alpha Z3-alpha unsat ✅ 0.40641 0.34547
Z3 Z3-alpha-base unsat ✅ 0.29137 0.16502