pub struct Options { /* private fields */ }Expand description
Configuration options for the Vampire theorem prover.
Options allow you to configure the behavior of the prover, such as setting time limits. Use the builder pattern to construct options.
§Examples
use vampire_prover::Options;
use std::time::Duration;
// Default options (no timeout)
let opts = Options::new();
// Set a timeout
let opts = Options::new().timeout(Duration::from_secs(5));Implementations§
Source§impl Options
impl Options
Sourcepub fn new() -> Self
pub fn new() -> Self
Creates a new Options with default settings.
By default, no timeout is set.
§Examples
use vampire_prover::Options;
let opts = Options::new();Examples found in repository?
examples/name_reuse.rs (line 20)
3fn main() {
4 let x1 = Function::new("x", 0);
5 let x2 = Function::new("x", 0);
6
7 dbg!(x1, x2);
8 dbg!(x1 == x2);
9
10 let y1 = Function::new("y", 0);
11 let y2 = Function::new("y", 1);
12
13 dbg!(y1, y2);
14
15 let z1 = Function::new("z", 0);
16 let z2 = Predicate::new("z", 0);
17
18 dbg!(z1, z2);
19
20 let solution = Problem::new(Options::new())
21 .with_axiom(y1.with(&[]).eq(y2.with(&[y1.with(&[])])))
22 .solve();
23
24 dbg!(solution);
25}More examples
examples/group.rs (line 33)
3fn main() {
4 // Prove that the identity element works on the left using group axioms
5 // In group theory, if we define a group with:
6 // - Right identity: x * 1 = x
7 // - Right inverse: x * inv(x) = 1
8 // - Associativity: (x * y) * z = x * (y * z)
9 // Then we can prove the left identity: 1 * x = x
10
11 let mult = Function::new("mult", 2);
12 let inv = Function::new("inv", 1);
13 let one = Function::constant("1");
14
15 // Helper to make multiplication more readable
16 let mul = |x: Term, y: Term| -> Term { mult.with([x, y]) };
17
18 // Axiom 1: Right identity - ∀x. x * 1 = x
19 let right_identity = forall(|x| mul(x, one).eq(x));
20
21 // Axiom 2: Right inverse - ∀x. x * inv(x) = 1
22 let right_inverse = forall(|x| {
23 let inv_x = inv.with(x);
24 mul(x, inv_x).eq(one)
25 });
26
27 // Axiom 3: Associativity - ∀x,y,z. (x * y) * z = x * (y * z)
28 let associativity = forall(|x| forall(|y| forall(|z| mul(mul(x, y), z).eq(mul(x, mul(y, z))))));
29
30 // Conjecture: Left identity - ∀x. 1 * x = x
31 let left_identity = forall(|x| mul(one, x).eq(x));
32
33 let (solution, proof) = Problem::new(Options::new())
34 .with_axiom(right_identity)
35 .with_axiom(right_inverse)
36 .with_axiom(associativity)
37 .conjecture(left_identity)
38 .solve_and_prove();
39
40 if let Some(proof) = proof {
41 println!("{}", proof);
42 }
43
44 assert_eq!(solution, ProofRes::Proved);
45}examples/bench_index2.rs (line 167)
113fn run_proof(i: usize) -> ProofRes {
114 // Prove that every subgroup of index 2 is normal.
115 let mult = Function::new(&format!("mult{i}"), 2);
116 let inv = Function::new(&format!("inv{i}"), 1);
117 let one = Function::constant(&format!("1{i}"));
118
119 // Helper to make multiplication more readable
120 let mul = |x: Term, y: Term| -> Term { mult.with(&[x, y]) };
121
122 // Group Axiom 1: Right identity - ∀x. x * 1 = x
123 let right_identity = forall(|x| mul(x, one).eq(x));
124
125 // Group Axiom 2: Right inverse - ∀x. x * inv(x) = 1
126 let right_inverse = forall(|x| {
127 let inv_x = inv.with(&[x]);
128 mul(x, inv_x).eq(one)
129 });
130
131 // Group Axiom 3: Associativity - ∀x,y,z. (x * y) * z = x * (y * z)
132 let associativity = forall(|x| forall(|y| forall(|z| mul(mul(x, y), z).eq(mul(x, mul(y, z))))));
133
134 // Describe the subgroup
135 let h = Predicate::new("h", 1);
136
137 // Any subgroup contains the identity
138 let h_ident = h.with(&[one]);
139
140 // And is closed under multiplication
141 let h_mul_closed =
142 forall(|x| forall(|y| (h.with(&[x]) & h.with(&[y])) >> h.with(&[mul(x, y)])));
143
144 // And is closed under inverse
145 let h_inv_closed = forall(|x| h.with(&[x]) >> h.with(&[inv.with(&[x])]));
146
147 // H specifically is of order 2
148 let h_index_2 = exists(|x| {
149 // an element not in H
150 let not_in_h = !h.with(&[x]);
151 // but everything is in H or x H
152 let class = forall(|y| h.with(&[y]) | h.with(&[mul(inv.with(&[x]), y)]));
153
154 not_in_h & class
155 });
156
157 // Conjecture: H is normal
158 let h_normal = forall(|x| {
159 let h_x = h.with(&[x]);
160 let conj_x = forall(|y| {
161 let y_inv = inv.with(&[y]);
162 h.with(&[mul(mul(y, x), y_inv)])
163 });
164 h_x.iff(conj_x)
165 });
166
167 Problem::new(Options::new())
168 .with_axiom(right_identity)
169 .with_axiom(right_inverse)
170 .with_axiom(associativity)
171 .with_axiom(h_ident)
172 .with_axiom(h_mul_closed)
173 .with_axiom(h_inv_closed)
174 .with_axiom(h_index_2)
175 .conjecture(h_normal)
176 .solve()
177}examples/group2.rs (line 56)
3fn main() {
4 // Prove that every subgroup of index 2 is normal.
5 let mult = Function::new("mult", 2);
6 let inv = Function::new("inv", 1);
7 let one = Function::constant("1");
8
9 // Helper to make multiplication more readable
10 let mul = |x: Term, y: Term| -> Term { mult.with([x, y]) };
11
12 // Group Axiom 1: Right identity - ∀x. x * 1 = x
13 let right_identity = forall(|x| mul(x, one).eq(x));
14
15 // Group Axiom 2: Right inverse - ∀x. x * inv(x) = 1
16 let right_inverse = forall(|x| {
17 let inv_x = inv.with(x);
18 mul(x, inv_x).eq(one)
19 });
20
21 // Group Axiom 3: Associativity - ∀x,y,z. (x * y) * z = x * (y * z)
22 let associativity = forall(|x| forall(|y| forall(|z| mul(mul(x, y), z).eq(mul(x, mul(y, z))))));
23
24 // Describe the subgroup
25 let h = Predicate::new("h", 1);
26
27 // Any subgroup contains the identity
28 let h_ident = h.with(one);
29
30 // And is closed under multiplication
31 let h_mul_closed = forall(|x| forall(|y| (h.with(x) & h.with(y)) >> h.with(mul(x, y))));
32
33 // And is closed under inverse
34 let h_inv_closed = forall(|x| h.with(x) >> h.with(inv.with(x)));
35
36 // H specifically is of order 2
37 let h_index_2 = exists(|x| {
38 // an element not in H
39 let not_in_h = !h.with(x);
40 // but everything is in H or x H
41 let class = forall(|y| h.with(y) | h.with(mul(inv.with(x), y)));
42
43 not_in_h & class
44 });
45
46 // Conjecture: H is normal
47 let h_normal = forall(|x| {
48 let h_x = h.with(x);
49 let conj_x = forall(|y| {
50 let y_inv = inv.with(y);
51 h.with(mul(mul(y, x), y_inv))
52 });
53 h_x.iff(conj_x)
54 });
55
56 let (solution, proof) = Problem::new(Options::new())
57 .with_axiom(right_identity)
58 .with_axiom(right_inverse)
59 .with_axiom(associativity)
60 .with_axiom(h_ident)
61 .with_axiom(h_mul_closed)
62 .with_axiom(h_inv_closed)
63 .with_axiom(h_index_2)
64 .conjecture(h_normal)
65 .solve_and_prove();
66
67 if let Some(proof) = proof {
68 println!("{}", proof);
69 }
70
71 assert_eq!(solution, ProofRes::Proved);
72}Sourcepub fn timeout(&mut self, duration: Duration) -> &mut Self
pub fn timeout(&mut self, duration: Duration) -> &mut Self
Sets the timeout for the prover.
If the prover exceeds this time limit, it will return
ProofRes::Unknown(UnknownReason::Timeout).
§Arguments
duration- The maximum time the prover should run
§Examples
use vampire_prover::Options;
use std::time::Duration;
let opts = Options::new().timeout(Duration::from_secs(10));Trait Implementations§
Auto Trait Implementations§
impl Freeze for Options
impl RefUnwindSafe for Options
impl Send for Options
impl Sync for Options
impl Unpin for Options
impl UnsafeUnpin for Options
impl UnwindSafe for Options
Blanket Implementations§
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more