Skip to content

Debug branch: Soundness bug on QF_NRA formula #3263

@muchang

Description

@muchang

Hi,
For this formula:

( declare-fun a () Real ) 
( declare-fun b () Real ) 
( declare-fun c () Real ) 
( declare-fun d () Real ) 
( declare-fun e () Real ) 
( declare-fun f () Real ) 
( declare-fun g () Real ) 
( declare-fun h () Real )  
( declare-fun i () Real ) 
(assert  (not (=>  (and  (= (- b e ) g) (< 0 (- b e )) 
    (< (+ g (/ 0 (* 2.0 (- a d )))) 0)) (< 0.0 (- a d)) (<= 0 h )))) 
(assert ( = c ( mod f i )))
(check-sat)  

Z3 debug branch gives an incorrect answer:

$ z3/build/z3 small.smt2 
unsat
$ z3debug/build/z3 small.smt2 
sat
$ cat small.smt2 
( declare-fun a () Real ) 
( declare-fun b () Real ) 
( declare-fun c () Real ) 
( declare-fun d () Real ) 
( declare-fun e () Real ) 
( declare-fun f () Real ) 
( declare-fun g () Real ) 
( declare-fun h () Real )  
( declare-fun i () Real ) 
(assert  (not (=>  (and  (= (- b e ) g) (< 0 (- b e )) 
    (< (+ g (/ 0 (* 2.0 (- a d )))) 0)) (< 0.0 (- a d)) (<= 0 h )))) 
(assert ( = c ( mod f i )))
(check-sat)         

OS: Ubuntu 18.04
Commit: a02d3e9

Metadata

Metadata

Assignees

No one assigned

    Labels

    DebugDebug branch issues

    Type

    No type

    Projects

    No projects

    Milestone

    No milestone

    Relationships

    None yet

    Development

    No branches or pull requests

    Issue actions