First of all. Below is the error that I am getting.
Now, What I am doing is like below....
I am integrating Speech To Text service of IBM. I have founded a demo HERE!
I am also using another two Services of IBM named Personality Insights and Cloudant Database.
I have successfully integrated Speech To Text example. But When I integrate Personality Insights and Cloudant Database it gives me above error.
WHAT I HAVE IDENTIFIED:
- In STT demo there is a module called speech-android-wrapper.
 - Which I have included to my app and added a line to *build.gradle** file like 
compile project(':speech-android-wrapper'). - For Cloudant Database service I have dependency like 
compile group: 'com.cloudant', name: 'cloudant-sync-datastore-android', version: 'latest.release'. - When I comment Cloudant Database dependency. It won't give me above error.
 - So, Some where these two dependencies are being conflicts.
 
Below is my Application's build.gradle file.
build.gradle
buildscript {
    repositories {
        maven { url 'https://maven.fabric.io/public' }
    }
    dependencies {
        classpath 'io.fabric.tools:gradle:1.+'
    }
}
apply plugin: 'com.android.application'
apply plugin: 'io.fabric'
android {
    compileSdkVersion 23
    buildToolsVersion "23.0.2"
    packagingOptions {
        exclude 'META-INF/NOTICE.txt'
        exclude 'META-INF/LICENSE.txt'
    }
    defaultConfig {
        multiDexEnabled true
        applicationId "com.stt_int.android01.sttdemofour"
        minSdkVersion 15
        targetSdkVersion 23
        versionCode 1
        versionName "1.0"
    }
    buildTypes {
        release {
            minifyEnabled false
            proguardFiles getDefaultProguardFile('proguard-android.txt'), 'proguard-rules.pro'
        }
    }
}
repositories {
    // ... other project repositories
    jcenter()
    maven { url 'https://maven.fabric.io/public' }
}
dependencies {
    compile fileTree(include: ['*.jar'], dir: 'libs')
    testCompile 'junit:junit:4.12'
    compile 'com.android.support:appcompat-v7:23.2.0'
    compile project(':speech-android-wrapper')
    compile 'com.facebook.android:facebook-android-sdk:4.7.+'
    compile 'com.mcxiaoke.volley:library:1.0.19'
    /*compile('com.mopub:mopub-sdk:4.3.0@aar') {
        transitive = true
    }*/
    compile('com.twitter.sdk.android:twitter:1.13.0@aar') {
        transitive = true;
    }
    compile 'com.ibm.watson.developer_cloud:java-sdk:2.6.0'
    compile group: 'com.cloudant', name: 'cloudant-sync-datastore-android', version: 'latest.release'
}
Below is speech-android-wrapper module's build.gradle file
apply plugin: 'com.android.library'
android {
    compileSdkVersion 21
    buildToolsVersion '22.0.1'
    defaultConfig {
        minSdkVersion 9
        targetSdkVersion 16
    }
    buildTypes {
        release {
            minifyEnabled false
            proguardFiles getDefaultProguardFile('proguard-android.txt'), 'proguard-rules.txt'
        }
    }
    productFlavors {
    }
}
dependencies {
    compile files('libs/java_websocket.jar')
    compile files('libs/commons-io-2.4.jar')
    compile files('libs/jna.jar')
}
I have try to exclude ByteOrderMark.class class using below code but I can not get desire outcome.
android {
    packagingOptions { 
        exclude 'org/apache/commons/io/ByteOrderMark.class'
    }
}
Any help will be very very very appreciated. Thanks!!
Update-1: Dated: 28.03.2016
I have tried like below from two links suggested by @Nikolay Shmyrev but none of links worked for me.
From 1st link.
dependencies {
    compile files('libs/java_websocket.jar')
    //compile files('libs/commons-io-2.4.jar')
    compile('commons-io:commons-io:2.4') {
        exclude group: 'org.apache', module: 'commons-io'
    }
    compile files('libs/jna.jar')
}
From 2nd link.
dependencies {
    compile files('libs/java_websocket.jar')
    //compile files('libs/commons-io-2.4.jar')
    compile('commons-io:commons-io:2.4') {
        exclude group: 'org.apache.commons.io'
    }
    compile files('libs/jna.jar')
}
I have removed commons-io-2.4.jar file from libs folder of speech-android-wrapper module.
Update-2: Dated: 29.03.2016
I have tried below too.
dependencies {
    compile fileTree(include: ['*.jar'], dir: 'libs')
    testCompile 'junit:junit:4.12'
    compile 'com.android.support:appcompat-v7:23.2.0'
    compile project(':speech-android-wrapper')
    compile 'com.facebook.android:facebook-android-sdk:4.7.+'
    compile 'com.mcxiaoke.volley:library:1.0.19'
    /*compile('com.mopub:mopub-sdk:4.3.0@aar') {
        transitive = true
    }*/
    compile('com.twitter.sdk.android:twitter:1.13.0@aar') {
        transitive = true;
    }
    compile 'com.ibm.watson.developer_cloud:java-sdk:2.6.0'
    compile(group: 'com.cloudant', name: 'cloudant-sync-datastore-android', version: 'latest.release') {
        exclude group: 'org.apache', module: 'commons-io'
    }
} 
Below also..
dependencies {
    compile fileTree(include: ['*.jar'], dir: 'libs')
    testCompile 'junit:junit:4.12'
    compile 'com.android.support:appcompat-v7:23.2.0'
    compile project(':speech-android-wrapper')
    compile 'com.facebook.android:facebook-android-sdk:4.7.+'
    compile 'com.mcxiaoke.volley:library:1.0.19'
    /*compile('com.mopub:mopub-sdk:4.3.0@aar') {
        transitive = true
    }*/
    compile('com.twitter.sdk.android:twitter:1.13.0@aar') {
        transitive = true;
    }
    compile 'com.ibm.watson.developer_cloud:java-sdk:2.6.0'
    compile(group: 'com.cloudant', name: 'cloudant-sync-datastore-android', version: 'latest.release') {
        exclude group: 'org.apache.commons.io'
    }
} 
to my project's build.gradle file. While I have changed my project's build.gradle file, build.gradle file of speech-android-wrapper look like below.
dependencies {
    compile files('libs/java_websocket.jar')
    //compile files('libs/commons-io-2.4.jar')
    compile 'commons-io:commons-io:2.4'
    compile files('libs/jna.jar')
} 
But nothing works for me.

