Benchmark
non-incremental/QF_LIA/tropical-matrix/constraint-505409.smt2
Submitted by Johannes Waldmann in 2012 for SMT-LIB.
These come from automated program termination analysis.
They should be satisfiable.
remove at least one strict rule from (RULES a# a -> b# b b,
a# a -> b# b,
a# -> d# c,
a# -> c#,
b# b -> c# c c,
b# b -> c# c,
b# b -> c#,
c# c -> d# d d,
c# c -> d# d,
c# c -> d#,
b# -> d# d,
b# -> d#,
d# d c -> a#,
a a ->= b b b,
a ->= d c,
b b ->= c c c,
c c ->= d d d,
d e ->= e d c b a,
b ->= d d,
c e ->= e a a b,
d d c ->= a)
| Benchmark |
|---|
| Size | 410791 |
| Compressed Size | 54572 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2015-07-02 |
| Generated By | — |
| Generated On | — |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 410783 |
| Compressed Size | 54581 |
| Max. Term Depth | 9 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4602 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1925 |
or | 5389 |
and | 3729 |
= | 5547 |
let | 1 |
+ | 972 |
<= | 1806 |
> | 156 |
>= | 360 |
| | | | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2015
|
0.57 (3/7) |
CVC4 |
CVC4-master-2015-06-15-9b32405-main default |
sat ✅
|
551.10500
|
551.34200
|
| |
|
CVC4-experimental-2015-06-15-ff5745a-main default |
sat ✅
|
547.91100
|
548.16200
|
| |
MathSAT |
MathSat 5.3.6 main smtcomp2015_main |
sat ✅
|
42.93660
|
42.94150
|
| |
SMTInterpol |
SMTInterpol v2.1-206-g86e9531 default |
unknown ❌
|
2400.02000
|
3004.34000
|
| |
SMT-RAT |
SMT-RAT-final default |
unknown ❌
|
2400.01000
|
2400.72000
|
| |
veriT |
veriT default |
unknown ❌
|
2400.01000
|
2400.93000
|
| |
Yices2 |
Yices default |
sat ✅
|
2309.06000
|
2310.01000
|
| |
Z3 |
z3 4.4.0 default |
unknown ❌
|
2400.01000
|
2400.72000
|
|
SMT-COMP 2016
|
0.75 (2/8) |
CVC4 |
CVC4-master-2016-05-27-cfef263-main default |
sat ✅
|
690.63900
|
691.01400
|
| |
MathSAT |
mathsat-5.3.11-linux-x86_64-Main default |
sat ✅
|
123.83400
|
123.90700
|
| |
ProB |
ProB competition |
unknown ❌
|
2400.04000
|
2401.46000
|
| |
SMTInterpol |
smtinterpol-2.1-258-g92ab3df default |
unknown ❌
|
2400.10000
|
2763.12000
|
| |
SMT-RAT |
SMT-RAT default |
unknown ❌
|
2400.03000
|
2401.37000
|
| |
veriT |
veriT-dev default |
unknown ❌
|
2400.02000
|
2401.37000
|
| |
Yices2 |
Yices-2.4.2 default |
unknown ❌
|
2400.01000
|
2401.39000
|
| |
Z3 |
z3-4.4.1 default |
unknown ❌
|
2400.02000
|
2401.35000
|
|
SMT-COMP 2017
|
0.57 (3/7) |
CVC4 |
CVC4-smtcomp2017-main default |
sat ✅
|
89.46100
|
89.45130
|
| |
MathSAT |
mathsat-5.4.1-linux-x86_64-Main default |
sat ✅
|
54.79640
|
54.76400
|
| |
SMTInterpol |
SMTInterpol default |
unknown ❌
|
600.03400
|
692.30000
|
| |
SMT-RAT |
SMTRAT-comp2017_2 default |
unknown ❌
|
600.10400
|
600.03400
|
| |
veriT |
veriT-2017-06-17 default |
unknown ❌
|
600.04400
|
600.00300
|
| |
Yices2 |
Yices2-Main default |
sat ✅
|
24.83330
|
24.82770
|
| |
Z3 |
z3-4.5.0 default |
unknown ❌
|
600.02000
|
599.91500
|
|
SMT-COMP 2018
|
0.38 (5/8) |
Ctrl-Ergo |
Ctrl-Ergo-SMTComp-2018_default |
sat ✅
|
21.68810
|
85.97000
|
| |
CVC4 |
master-2018-06-10-b19c840-competition-default_default |
sat ✅
|
172.68100
|
172.66700
|
| |
MathSAT |
mathsat-5.5.2-linux-x86_64-Main_default |
sat ✅
|
74.89810
|
74.89340
|
| |
SMTInterpol |
SMTInterpol-2.5-19-g0d39cdee_default |
unknown ❌
|
1200.03000
|
1358.14000
|
| |
SMT-RAT |
SMTRAT-Rat-final_default |
unknown ❌
|
1200.01000
|
1199.90000
|
| |
veriT |
veriT_default |
sat ✅
|
749.91300
|
749.89700
|
| |
Yices2 |
Yices 2.6.0_default |
sat ✅
|
9.57398
|
9.57292
|
| |
Z3 |
z3-4.7.1_default |
unknown ❌
|
1200.11000
|
1200.08000
|
|
SMT-COMP 2019
|
0.12 (7/8) |
Ctrl-Ergo |
Ctrl-Ergo-2019-wrapped-sq_default |
sat ✅
|
2.67634
|
10.38000
|
| |
CVC4 |
CVC4-2019-06-03-d350fe1-wrapped-sq_default |
sat ✅
|
430.80400
|
430.75800
|
| |
|
CVC4-SymBreak_03_06_2019-wrapped-sq_default |
sat ✅
|
889.12700
|
889.00600
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
40.90730
|
122.62000
|
| |
ProB |
ProB-wrapped-sq_default |
unknown ❌
|
2400.04000
|
2399.87000
|
| |
SMTInterpol |
smtinterpol-2.5-514-wrapped-sq_default |
sat ✅
|
99.66790
|
118.01000
|
| |
veriT |
veriT-wrapped-sq_default |
sat ✅
|
119.33600
|
119.33100
|
| |
Yices2 |
Yices 2.6.2-wrapped-sq_default |
sat ✅
|
38.00200
|
37.99660
|
| |
Z3 |
z3-4.8.4-d6df51951f4c-wrapped-sq_default |
sat ✅
|
67.64610
|
67.64200
|
|
SMT-COMP 2020
|
|
CVC4 |
CVC4-sq-final_default |
sat ✅
|
563.02500
|
562.95500
|
| |
MathSAT |
MathSAT5_default.sh |
sat ✅
|
90.17200
|
90.17170
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.46526
|
0.00677
|
| |
SMTInterpol |
smtinterpol-2.5-679-gacfde87a_default |
sat ✅
|
147.20800
|
165.13100
|
| |
veriT |
veriT_default |
sat ✅
|
469.86800
|
469.83200
|
| |
Yices2 |
Yices 2.6.2 bug fix_default |
sat ✅
|
13.90680
|
13.90770
|
| |
Z3 |
z3-4.8.8_default |
sat ✅
|
177.08100
|
177.04700
|
|
SMT-COMP 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
166.90700
|
166.84800
|
| |
MathSAT |
MathSAT-5.6.8_default |
sat ✅
|
251.29800
|
251.23100
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.49065
|
0.00647
|
| |
veriT |
veriT_default |
sat ✅
|
45.44880
|
45.44410
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
35.12030
|
35.11800
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
66.57850
|
66.52730
|
|
SMT-COMP 2023
|
0.17 (5/6) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
822.90700
|
822.71800
|
| |
OpenSMT |
OpenSMT a78dcf01_default |
sat ✅
|
15.55920
|
15.55850
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
3.26682
|
9.71000
|
| |
SMTInterpol |
smtinterpol-2.5-1272-g2d6d356c_default |
unknown ❌
|
1200.04000
|
1223.26000
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
323.36000
|
323.29100
|
| |
Z3++ |
Z3++_sq_0526_default |
sat ✅
|
230.43000
|
230.36600
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
397.61638
|
397.42924
|
| |
OpenSMT |
OpenSMT |
sat ✅
|
8.54983
|
8.42298
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.38443
|
1222.29357
|
| |
Yices2 |
Yices2 |
sat ✅
|
13.56025
|
13.44015
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
69.76271
|
277.27478
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
14.99797
|
14.87691
|