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// Copyright 2025-2026, Offchain Labs, Inc.
// For license information, see https://github.com/OffchainLabs/nitro/blob/master/LICENSE.md
package arbtest
import (
"context"
"math/big"
"testing"
"time"
"github.com/stretchr/testify/assert"
"github.com/stretchr/testify/require"
"github.com/ethereum/go-ethereum/accounts/abi/bind"
"github.com/ethereum/go-ethereum/arbitrum/multigas"
"github.com/ethereum/go-ethereum/common"
"github.com/ethereum/go-ethereum/core/types"
"github.com/ethereum/go-ethereum/params"
"github.com/offchainlabs/nitro/arbos/l2pricing"
"github.com/offchainlabs/nitro/arbos/util"
"github.com/offchainlabs/nitro/solgen/go/localgen"
"github.com/offchainlabs/nitro/solgen/go/precompilesgen"
"github.com/offchainlabs/nitro/util/arbmath"
)
func TestSetAndGetGasPricingConstraints(t *testing.T) {
ctx, cancel := context.WithCancel(context.Background())
defer cancel()
builder := NewNodeBuilder(ctx).DefaultConfig(t, false)
cleanup := builder.Build(t)
defer cleanup()
auth := builder.L2Info.GetDefaultTransactOpts("Owner", ctx)
callOpts := &bind.CallOpts{Context: ctx}
arbOwner, err := precompilesgen.NewArbOwner(types.ArbOwnerAddress, builder.L2.Client)
require.NoError(t, err)
arbGasInfo, err := precompilesgen.NewArbGasInfo(types.ArbGasInfoAddress, builder.L2.Client)
require.NoError(t, err)
// Set constraints
constraints := [][3]uint64{
{30_000_000, 102, 800_000}, // short-term
{15_000_000, 600, 1_600_000}, // long-term
}
tx, err := arbOwner.SetGasPricingConstraints(&auth, constraints)
require.NoError(t, err)
require.NotNil(t, tx)
// Get and check values
constraints, err = arbGasInfo.GetGasPricingConstraints(callOpts)
require.NoError(t, err)
require.Equal(t, 2, len(constraints))
require.Equal(t, uint64(30_000_000), constraints[0][0])
require.Equal(t, uint64(102), constraints[0][1])
require.GreaterOrEqual(t, constraints[0][2], uint64(800_000))
require.Equal(t, uint64(15_000_000), constraints[1][0])
require.Equal(t, uint64(600), constraints[1][1])
require.GreaterOrEqual(t, constraints[1][2], uint64(1_600_000))
}
func TestSetAndGetMultiGasPricingConstraints(t *testing.T) {
ctx, cancel := context.WithCancel(context.Background())
defer cancel()
builder := NewNodeBuilder(ctx).
DefaultConfig(t, false).
WithArbOSVersion(params.ArbosVersion_MultiGasConstraintsVersion)
cleanup := builder.Build(t)
defer cleanup()
auth := builder.L2Info.GetDefaultTransactOpts("Owner", ctx)
callOpts := &bind.CallOpts{Context: ctx}
arbOwner, err := precompilesgen.NewArbOwner(types.ArbOwnerAddress, builder.L2.Client)
require.NoError(t, err)
arbGasInfo, err := precompilesgen.NewArbGasInfo(types.ArbGasInfoAddress, builder.L2.Client)
require.NoError(t, err)
constraint0 := precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
Resources: []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource{
{Resource: uint8(multigas.ResourceKindComputation), Weight: 3},
{Resource: uint8(multigas.ResourceKindHistoryGrowth), Weight: 2},
{Resource: uint8(multigas.ResourceKindStorageAccessWrite), Weight: 1},
{Resource: uint8(multigas.ResourceKindStorageGrowth), Weight: 4},
{Resource: uint8(multigas.ResourceKindSingleDim), Weight: 5},
},
AdjustmentWindowSecs: 102,
TargetPerSec: 30_000_000,
Backlog: 800_000,
}
constraint1 := precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
Resources: []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource{
{Resource: uint8(multigas.ResourceKindStorageAccessRead), Weight: 7},
{Resource: uint8(multigas.ResourceKindSingleDim), Weight: 9},
{Resource: uint8(multigas.ResourceKindHistoryGrowth), Weight: 11},
},
AdjustmentWindowSecs: 600,
TargetPerSec: 15_000_000,
Backlog: 1_600_000,
}
constraints := []precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
constraint0,
constraint1,
}
tx, err := arbOwner.SetMultiGasPricingConstraints(&auth, constraints)
require.NoError(t, err)
require.NotNil(t, tx)
readBack, err := arbGasInfo.GetMultiGasPricingConstraints(callOpts)
require.NoError(t, err)
require.Equal(t, 2, len(readBack))
toMap := func(list []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource) map[uint8]uint64 {
m := make(map[uint8]uint64, len(list))
for _, r := range list {
m[r.Resource] = r.Weight
}
return m
}
want0 := toMap(constraint0.Resources)
want1 := toMap(constraint1.Resources)
require.Equal(t, uint64(30_000_000), readBack[0].TargetPerSec)
require.Equal(t, uint32(102), readBack[0].AdjustmentWindowSecs)
require.GreaterOrEqual(t, readBack[0].Backlog, uint64(800_000))
got0 := toMap(readBack[0].Resources)
require.Equal(t, want0, got0)
require.Equal(t, uint64(15_000_000), readBack[1].TargetPerSec)
require.Equal(t, uint32(600), readBack[1].AdjustmentWindowSecs)
require.GreaterOrEqual(t, readBack[1].Backlog, uint64(1_600_000))
got1 := toMap(readBack[1].Resources)
require.Equal(t, want1, got1)
}
func TestMultiGasRefundForNormalTx(t *testing.T) {
ctx, cancel := context.WithCancel(context.Background())
defer cancel()
builder := NewNodeBuilder(ctx).
DefaultConfig(t, false).
WithArbOSVersion(params.ArbosVersion_MultiGasConstraintsVersion)
cleanup := builder.Build(t)
defer cleanup()
auth := builder.L2Info.GetDefaultTransactOpts("Owner", ctx)
owner := auth.From
arbOwner, err := precompilesgen.NewArbOwner(types.ArbOwnerAddress, builder.L2.Client)
require.NoError(t, err)
arbGasInfo, err := precompilesgen.NewArbGasInfo(types.ArbGasInfoAddress, builder.L2.Client)
require.NoError(t, err)
// Set multi-gas constraints with heavy-constrained storage growth
constraint := precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
Resources: []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource{
{Resource: uint8(multigas.ResourceKindStorageGrowth), Weight: 1},
},
AdjustmentWindowSecs: 10,
TargetPerSec: 50_000,
Backlog: 200_000,
}
tx, err := arbOwner.SetMultiGasPricingConstraints(&auth, []precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
constraint,
})
require.NoError(t, err)
require.NotNil(t, tx)
// First transaction: spin the pricing model, should use InitialBaseFeeWei
tx = builder.L2Info.PrepareTx(
"Owner", "Owner",
builder.L2Info.TransferGas,
big.NewInt(1),
nil,
)
require.NoError(t, builder.L2.Client.SendTransaction(ctx, tx))
receipt, err := builder.L2.EnsureTxSucceeded(tx)
require.NoError(t, err)
require.Equal(t, uint64(l2pricing.InitialBaseFeeWei), receipt.EffectiveGasPrice.Uint64())
// Second transaction: does not use storage growth, should get a positive refund
balanceBefore, err := builder.L2.Client.BalanceAt(ctx, owner, nil)
require.NoError(t, err)
tx = builder.L2Info.PrepareTx(
"Owner", "Owner",
builder.L2Info.TransferGas,
big.NewInt(1),
nil,
)
require.NoError(t, builder.L2.Client.SendTransaction(ctx, tx))
receipt, err = builder.L2.EnsureTxSucceeded(tx)
require.NoError(t, err)
// Ensure base fee is greater than initial (due to the constrained storage growth)
require.Greater(t, receipt.EffectiveGasPrice.Uint64(), uint64(l2pricing.InitialBaseFeeWei))
balanceAfter, err := builder.L2.Client.BalanceAt(ctx, owner, nil)
require.NoError(t, err)
// Single cost: what the user would pay without multi-gas refund
gasUsed := receipt.GasUsed
singleCost := new(big.Int).Mul(
new(big.Int).SetUint64(gasUsed),
receipt.EffectiveGasPrice,
)
// Multi-gas cost: calculated using multi-gas base fees
mgFees, err := arbGasInfo.GetMultiGasBaseFee(&bind.CallOpts{Context: ctx})
require.NoError(t, err)
mgPrice := uint64(0)
for i, baseFee := range mgFees {
// #nosec G115 safe: NumResourceKind < 2^32
kind := multigas.ResourceKind(i)
amount := receipt.MultiGasUsed.Get(kind)
part := new(big.Int).Mul(
new(big.Int).SetUint64(amount),
baseFee,
)
mgPrice += part.Uint64()
}
// Expect actualCost equal to multi-gas cost
actualCost := new(big.Int).Sub(balanceBefore, balanceAfter)
require.Less(t, actualCost.Cmp(singleCost), 0, "expected actual cost < single cost")
require.Equal(t, mgPrice, actualCost.Uint64(), "multi-gas price mismatch")
// Expect positive refund
refund := new(big.Int).Sub(singleCost, actualCost)
require.True(t, refund.Sign() > 0, "expected positive refund, got %v", refund)
}
func TestMultiGasRefundForRetryableTx(t *testing.T) {
builder, delayedInbox, lookupL2Tx, ctx, teardown := retryableSetup(t, func(b *NodeBuilder) {
b.WithArbOSVersion(params.ArbosVersion_MultiGasConstraintsVersion)
})
defer teardown()
_, networkFeeAddr := setupFeeAddresses(t, ctx, builder)
ownerTxOpts := builder.L2Info.GetDefaultTransactOpts("Owner", ctx)
simpleAddr, simple := builder.L2.DeploySimple(t, ownerTxOpts)
simpleABI, err := localgen.SimpleMetaData.GetAbi()
require.NoError(t, err)
// Enable multi-gas constraints with heavy-constrained storage growth.
arbOwner, err := precompilesgen.NewArbOwner(types.ArbOwnerAddress, builder.L2.Client)
require.NoError(t, err)
constraint := precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
Resources: []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource{
{Resource: uint8(multigas.ResourceKindStorageGrowth), Weight: 1},
},
AdjustmentWindowSecs: 10,
TargetPerSec: 50_000,
Backlog: 200_000,
}
tx, err := arbOwner.SetMultiGasPricingConstraints(&ownerTxOpts, []precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
constraint,
})
require.NoError(t, err)
require.NotNil(t, tx)
elevateL2Basefee(t, ctx, builder)
beneficiaryAddress := builder.L2Info.GetAddress("Beneficiary")
deposit := arbmath.BigMul(big.NewInt(1e12), big.NewInt(1e12))
callValue := common.Big0
usertxoptsL1 := builder.L1Info.GetDefaultTransactOpts("Faucet", ctx)
usertxoptsL1.Value = deposit
baseFee := builder.L2.GetBaseFee(t)
l1tx, err := delayedInbox.CreateRetryableTicket(
&usertxoptsL1,
simpleAddr,
callValue,
big.NewInt(1e16),
beneficiaryAddress,
beneficiaryAddress,
big.NewInt(int64(params.TxGas+params.TxDataNonZeroGasEIP2028*4)),
big.NewInt(baseFee.Int64()*2),
simpleABI.Methods["incrementRedeem"].ID,
)
require.NoError(t, err)
l1Receipt, err := builder.L1.EnsureTxSucceeded(l1tx)
require.NoError(t, err)
require.Equal(t, types.ReceiptStatusSuccessful, l1Receipt.Status)
elevateL2Basefee(t, ctx, builder)
waitForL1DelayBlocks(t, builder)
elevateL2Basefee(t, ctx, builder)
submissionTxOuter := lookupL2Tx(l1Receipt)
submissionReceipt, err := builder.L2.EnsureTxSucceeded(submissionTxOuter)
require.NoError(t, err)
require.Len(t, submissionReceipt.Logs, 2)
ticketId := submissionReceipt.Logs[0].Topics[1]
firstRetryTxId := submissionReceipt.Logs[1].Topics[2]
// Auto-redeem should fail.
autoRedeemReceipt, err := WaitForTx(ctx, builder.L2.Client, firstRetryTxId, time.Second*5)
require.NoError(t, err)
require.Equal(t, types.ReceiptStatusFailed, autoRedeemReceipt.Status)
usertxoptsL2 := builder.L2Info.GetDefaultTransactOpts("Faucet", ctx)
arbRetryableTx, err := precompilesgen.NewArbRetryableTx(common.HexToAddress("6e"), builder.L2.Client)
require.NoError(t, err)
tx, err = arbRetryableTx.Redeem(&usertxoptsL2, ticketId)
require.NoError(t, err)
redeemReceipt, err := builder.L2.EnsureTxSucceeded(tx)
require.NoError(t, err)
retryTxId := redeemReceipt.Logs[0].Topics[2]
// Get the retry receipt and ensure success.
retryReceipt, err := WaitForTx(ctx, builder.L2.Client, retryTxId, time.Second*1)
require.NoError(t, err)
require.Equal(t, types.ReceiptStatusSuccessful, retryReceipt.Status)
// Sanity: counter incremented, caller/redeemer as expected.
counter, err := simple.Counter(&bind.CallOpts{})
require.NoError(t, err)
require.Equal(t, uint64(1), counter)
require.Len(t, retryReceipt.Logs, 1)
parsed, err := simple.ParseRedeemedEvent(*retryReceipt.Logs[0])
require.NoError(t, err)
aliasedSender := util.RemapL1Address(usertxoptsL1.From)
require.Equal(t, aliasedSender, parsed.Caller)
require.Equal(t, usertxoptsL2.From, parsed.Redeemer)
// Multi-gas refund check (retryable path)
// Network fee actually collected for the redeem+retry block.
networkRedeemFee, err := builder.L2.BalanceDifferenceAtBlock(networkFeeAddr, retryReceipt.BlockNumber)
require.NoError(t, err)
// For comparison: naive single-gas network fee for redeem+retry.
retryTxOuter, _, err := builder.L2.Client.TransactionByHash(ctx, retryTxId)
require.NoError(t, err)
retryTx, ok := retryTxOuter.GetInner().(*types.ArbitrumRetryTx)
require.True(t, ok, "inner tx isn't ArbitrumRetryTx")
redeemBaseFee := builder.L2.GetBaseFeeAt(t, redeemReceipt.BlockNumber)
// Same redeem gas accounting as existing retryable fee test.
redeemGasUsed := redeemReceipt.GasUsed - redeemReceipt.GasUsedForL1 - retryTx.Gas + retryReceipt.GasUsed
singleGasRedeemFee := arbmath.BigMulByUint(redeemBaseFee, redeemGasUsed)
// With multi-gas pricing, network fee must not exceed the single-gas cost.
require.True(
t,
networkRedeemFee.Cmp(singleGasRedeemFee) <= 0,
"expected networkRedeemFee <= single-gas network fee, want <= %v have %v",
singleGasRedeemFee,
networkRedeemFee,
)
}
func TestMultiGasDoesntRefundRetryablesMultipleTimes(t *testing.T) {
builder, delayedInbox, lookupL2Tx, ctx, teardown := retryableSetup(t, func(b *NodeBuilder) {
b.WithArbOSVersion(params.ArbosVersion_MultiGasConstraintsVersion)
})
defer teardown()
// Allow transactions with expensive gas fee.
builder.L2Info.GasPrice = big.NewInt(100 * params.GWei)
// Deploy simple contract in L2.
ownerTxOpts := builder.L2Info.GetDefaultTransactOpts("Owner", ctx)
simpleAddr, _ := builder.L2.DeploySimple(t, ownerTxOpts)
simpleABI, err := localgen.SimpleMetaData.GetAbi()
require.NoError(t, err)
// Setup and fund fee addresses.
infraFeeAddr, networkFeeAddr := setupFeeAddresses(t, ctx, builder)
builder.L2.TransferBalanceTo(t, "Faucet", infraFeeAddr, big.NewInt(params.Ether), builder.L2Info)
builder.L2.TransferBalanceTo(t, "Faucet", networkFeeAddr, big.NewInt(params.Ether), builder.L2Info)
// Enable multi-gas constraints with heavy-constrained storage growth.
// Set a long adjustment window with a huge backlog to keep the constrained price high for a long time.
const expensiveResourceKind = multigas.ResourceKindStorageGrowth
baseFeeBefore := builder.L2.GetBaseFee(t)
arbOwner, err := precompilesgen.NewArbOwner(types.ArbOwnerAddress, builder.L2.Client)
require.NoError(t, err)
constraint := precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
Resources: []precompilesgen.ArbMultiGasConstraintsTypesWeightedResource{
{Resource: uint8(expensiveResourceKind), Weight: 1},
},
AdjustmentWindowSecs: 1_000,
TargetPerSec: 50_000,
Backlog: 250_000_000,
}
tx, err := arbOwner.SetMultiGasPricingConstraints(&ownerTxOpts, []precompilesgen.ArbMultiGasConstraintsTypesResourceConstraint{
constraint,
})
require.NoError(t, err)
require.NotNil(t, tx)
builder.L2.AdvanceBlocks(t, "Faucet", 2, builder.L2Info) // Advance blocks so changes take effect
baseFeeAfter := builder.L2.GetBaseFee(t)
t.Log("Base fee before: ", baseFeeBefore.Int64())
t.Log("Base fee after: ", baseFeeAfter.Int64())
// Create an user to send the retryable.
const user = "RetryableUser"
builder.L1Info.GenerateAccount(user)
builder.L2Info.GenerateAccount(user)
builder.L1.TransferBalance(t, "Faucet", user, big.NewInt(params.Ether), builder.L1Info)
builder.L2.TransferBalance(t, "Faucet", user, big.NewInt(params.Ether), builder.L2Info)
userAddr := builder.L1Info.GetAddress(user)
// Create retryable ticket calling simple.pleaseRevert.
l1Opts := builder.L1Info.GetDefaultTransactOpts(user, ctx)
l1Opts.Value = big.NewInt(2e16)
baseFee := builder.L2.GetBaseFee(t)
createRetryableTx, err := delayedInbox.CreateRetryableTicket(
&l1Opts,
simpleAddr,
common.Big0,
big.NewInt(1e16),
userAddr,
userAddr,
big.NewInt(int64(params.TxGas+params.TxDataNonZeroGasEIP2028*4)),
big.NewInt(baseFee.Int64()*2),
simpleABI.Methods["pleaseRevert"].ID,
)
require.NoError(t, err)
createRetryableReceipt, err := builder.L1.EnsureTxSucceeded(createRetryableTx)
require.NoError(t, err)
waitForL1DelayBlocks(t, builder)
// Get retryable submission in L2.
submissionTx := lookupL2Tx(createRetryableReceipt)
submissionReceipt, err := builder.L2.EnsureTxSucceeded(submissionTx)
require.NoError(t, err)
require.Len(t, submissionReceipt.Logs, 2)
ticketId := submissionReceipt.Logs[0].Topics[1]
autoRedeemTx := submissionReceipt.Logs[1].Topics[2]
// Check auto-redeem failed.
autoRedeemReceipt, err := WaitForTx(ctx, builder.L2.Client, autoRedeemTx, time.Second*5)
require.NoError(t, err)
require.Equal(t, types.ReceiptStatusFailed, autoRedeemReceipt.Status)
// Get balances before sending redeeming attempts.
initialUserBalance := builder.L2.GetBalance(t, userAddr)
initialNetworkFeeBalance := builder.L2.GetBalance(t, networkFeeAddr)
// Prepare for redeem attempt.
arbRetryableTxABI, err := precompilesgen.ArbRetryableTxMetaData.GetAbi()
require.NoError(t, err)
redemCalldata, err := arbRetryableTxABI.Pack("redeem", ticketId)
require.NoError(t, err)
const gas = 10_000_000 // use the right amount of gas so the user can pay for the transaction but still receive double refunds
// Get minimum base fee.
arbGasInfo, err := precompilesgen.NewArbGasInfo(types.ArbGasInfoAddress, builder.L2.Client)
require.NoError(t, err)
minimumBaseFee, err := arbGasInfo.GetMinimumGasPrice(&bind.CallOpts{Context: ctx})
require.NoError(t, err)
// Manually redeem transaction by calling ArbRetryableTx precompile.
const numTransactions = 10
for i := range numTransactions {
// Send redeem attempt.
redeemTx := builder.L2Info.PrepareTxTo(user, &types.ArbRetryableTxAddress, gas, common.Big0, redemCalldata)
err = builder.L2.Client.SendTransaction(builder.ctx, redeemTx)
require.NoError(t, err)
redeemReceipt, err := builder.L2.EnsureTxSucceeded(redeemTx)
require.NoError(t, err)
event, err := util.ParseRedeemScheduledLog(redeemReceipt.Logs[0])
require.NoError(t, err)
// Check redeem attempt failed. This is expected because we called the pleaseRevert method.
retryReceipt, err := WaitForTx(ctx, builder.L2.Client, event.RetryTxHash, time.Second*1)
require.NoError(t, err)
require.Equal(t, types.ReceiptStatusFailed, retryReceipt.Status)
// Check multigas single-dimensional gas.
expectedSingleDim := redeemReceipt.GasUsedForL1 + event.DonatedGas
assert.Equal(t, expectedSingleDim, redeemReceipt.MultiGasUsed.Get(multigas.ResourceKindSingleDim))
// Check user balance decreases and network fee balance keeps the same.
// If the user is refunded twice, their balance would increase.
userBalanceDiff, err := builder.L2.BalanceDifferenceAtBlock(userAddr, redeemReceipt.BlockNumber)
require.NoError(t, err)
networkFeeBalanceDiff, err := builder.L2.BalanceDifferenceAtBlock(networkFeeAddr, redeemReceipt.BlockNumber)
require.NoError(t, err)
assert.Negative(t, userBalanceDiff.Sign())
assert.Zero(t, networkFeeBalanceDiff.Sign())
// Compute what the user actually paid for the retryable redeem attempt.
maxBaseFee := builder.L2.GetBaseFeeAt(t, redeemReceipt.BlockNumber)
constrainedGas := redeemReceipt.MultiGasUsed.Get(expensiveResourceKind) + retryReceipt.MultiGasUsed.Get(expensiveResourceKind)
l1CalldataGas := redeemReceipt.GasUsedForL1 + retryReceipt.GasUsedForL1
expensiveGas := constrainedGas + l1CalldataGas
expensiveGasFee := new(big.Int).Mul(maxBaseFee, new(big.Int).SetUint64(expensiveGas))
remainingGas := redeemReceipt.GasUsed + retryReceipt.GasUsed - expensiveGas - event.DonatedGas
remainingGasFee := new(big.Int).Mul(minimumBaseFee, new(big.Int).SetUint64(remainingGas))
expectedFee := new(big.Int).Add(expensiveGasFee, remainingGasFee)
assert.Equal(t, expectedFee.Uint64(), new(big.Int).Abs(userBalanceDiff).Uint64())
t.Logf("Sent transaction %v with cost %0.9f Ether", i, arbmath.BalancePerEther(expectedFee))
}
// Check final user balance
finalUserBalance := builder.L2.GetBalance(t, userAddr)
finalNetworkFeeBalance := builder.L2.GetBalance(t, networkFeeAddr)
t.Logf("Initial user balance: %v Eth", arbmath.BalancePerEther(initialUserBalance))
t.Logf("Final user balance: %v Eth", arbmath.BalancePerEther(finalUserBalance))
t.Logf("Initial net-fee balance: %v Eth", arbmath.BalancePerEther(initialNetworkFeeBalance))
t.Logf("Final net fee balance: %v Eth", arbmath.BalancePerEther(finalNetworkFeeBalance))
assert.True(t, finalUserBalance.Cmp(initialUserBalance) < 0, "user balance should decrease")
assert.True(t, finalNetworkFeeBalance.Cmp(initialNetworkFeeBalance) == 0, "network fee balance remain the same")
}