diff --git a/sp1/README.md b/sp1/README.md
new file mode 100644
index 0000000..bbb2235
--- /dev/null
+++ b/sp1/README.md
@@ -0,0 +1,39 @@
+# Test run instructions
+
+To run corresponding tests in `Valida` some preparations have to be done.
+
+We assume, that one is in `valida` folder.
+
+Firstly, move into [scripts_and_tools](./scripts_and_tools/) directory.
+
+Next, run
+
+```sh
+./valida_setup.sh
+```
+
+This will fetch all necessary components to build Rist code in `Valida`.
+
+Next, to prove execution we need to build one of the tests, let`s use [simple_arithmetic_test](./tests/simple_arithmetic_test/) as an example.
+
+Run
+
+```sh
+./build-rust.sh simple_arithmetic_test
+```
+
+If run is succsessfull then you will see `simple_arithmetic_test`, `simple_arithmetic_test.ll`, `simple_arithmetic_test.o` files in the scripts directory.
+
+Next, we need prove execution, to do so run
+
+```sh
+./valida_prove.sh simple_arithmetic_test
+```
+
+If proof succsessfull, you will see `simple_arithmetic_test.proof` file in scripts derectory.
+
+If needed, proof can be verified as follows
+
+```sh
+./valida_verify.sh simple_arithmetic_test
+```
\ No newline at end of file
diff --git a/sp1/mem_alloc_vec_test/script/src/bin/evm.rs b/sp1/mem_alloc_vec_test/script/src/bin/evm.rs
index d39357c..bb7c392 100644
--- a/sp1/mem_alloc_vec_test/script/src/bin/evm.rs
+++ b/sp1/mem_alloc_vec_test/script/src/bin/evm.rs
@@ -40,7 +40,7 @@ enum ProofSystem {
 /// A fixture that can be used to test the verification of SP1 zkVM proofs inside Solidity.
 #[derive(Debug, Clone, Serialize, Deserialize)]
 #[serde(rename_all = "camelCase")]
-struct SP1SimpleArithmeticTestProofFixture {
+struct SP1MemAllocVecTestProofFixture {
     a: u32,
     b: u32,
     n: u32,
diff --git a/sp1/mem_alloc_vec_test/script/src/bin/main.rs b/sp1/mem_alloc_vec_test/script/src/bin/main.rs
index 51defd9..641bdc2 100644
--- a/sp1/mem_alloc_vec_test/script/src/bin/main.rs
+++ b/sp1/mem_alloc_vec_test/script/src/bin/main.rs
@@ -12,7 +12,7 @@
 
 use alloy_sol_types::SolType;
 use clap::Parser;
-use simple_arithmetic_test_lib::PublicValuesStruct;
+use mem_alloc_vec_test_lib::PublicValuesStruct;
 use sp1_sdk::{ProverClient, SP1Stdin};
 
 /// The ELF (executable and linkable format) file for the Succinct RISC-V zkVM.
@@ -65,7 +65,7 @@ fn main() {
         println!("a: {}", a);
         println!("b: {}", b);
 
-        let (expected_a, expected_b) = fibonacci_lib::fibonacci(n);
+        let (expected_a, expected_b) = mem_alloc_vec_test_lib::vec_alloc(n);
         assert_eq!(a, expected_a);
         assert_eq!(b, expected_b);
         println!("Values are correct!");
@@ -74,7 +74,7 @@ fn main() {
         println!("Number of cycles: {}", report.total_instruction_count());
     } else {
         // Setup the program for proving.
-        let (pk, vk) = client.setup(FIBONACCI_ELF);
+        let (pk, vk) = client.setup(MEM_ALLOC_VEC_TEST_ELF);
 
         // Generate the proof
         let proof = client
diff --git a/sp1/simple_arithmetic_test/script/src/bin/main.rs b/sp1/simple_arithmetic_test/script/src/bin/main.rs
index 4e9eff4..8563779 100644
--- a/sp1/simple_arithmetic_test/script/src/bin/main.rs
+++ b/sp1/simple_arithmetic_test/script/src/bin/main.rs
@@ -65,7 +65,7 @@ fn main() {
         println!("a: {}", a);
         println!("b: {}", b);
 
-        let (expected_a, expected_b) = fibonacci_lib::fibonacci(n);
+        let (expected_a, expected_b) = simple_arithmetic_test_lib::hept(n);
         assert_eq!(a, expected_a);
         assert_eq!(b, expected_b);
         println!("Values are correct!");
@@ -74,7 +74,7 @@ fn main() {
         println!("Number of cycles: {}", report.total_instruction_count());
     } else {
         // Setup the program for proving.
-        let (pk, vk) = client.setup(FIBONACCI_ELF);
+        let (pk, vk) = client.setup(SIMPLE_ARITHMETIC_TEST_ELF);
 
         // Generate the proof
         let proof = client