Conflitto librerie ICMPPing e TimeLib.h

Controlla qualcos'altro, perchè ho preso l'esempio TimeNTP dalla libreria Time, ho aggiunto le tue righe e funziona

/*
 * Time_NTP.pde
 * Example showing time sync to NTP time source
 *
 * This sketch uses the Ethernet library
 */
 
#include <TimeLib.h>
#include <Ethernet.h>
#include <EthernetUdp.h>
#include <SPI.h>
#include <ICMPPing.h>

byte mac[] = { 0xDE, 0xAD, 0xBE, 0xEF, 0xFE, 0xED }; 
// NTP Servers:
IPAddress timeServer(217, 147, 223, 78); //europe.pool.ntp.org

const int timeZone = 1;     // Central European Time

EthernetUDP Udp;
unsigned int localPort = 8888;  // local port to listen for UDP packets

SOCKET pingSocket = 0;
char buffer [256];
ICMPPing ping(pingSocket, (uint16_t)random(0, 255));

int Persona2, Persona1;
unsigned long TempoLetturaPresenza = 0L;

String QuestaDATA;
unsigned long OrarioSincornizzato, DifferenzaMillis;

byte PrimoTelefono[] = {192, 168, 1, 11};
byte SecondoTelefono[] = {192, 168, 1, 12};

unsigned long Tempo = 0L;

void setup() 
{
  Serial.begin(9600);
  Serial.println("TimeNTP Example");
  if (Ethernet.begin(mac) == 0) {
    // no point in carrying on, so do nothing forevermore:
    while (1) {
      Serial.println("Failed to configure Ethernet using DHCP");
      delay(10000);
    }
  }
  Serial.print("IP number assigned by DHCP is ");
  Serial.println(Ethernet.localIP());
  Udp.begin(localPort);
  Serial.println("waiting for sync");
  setSyncProvider(getNtpTime);
}

time_t prevDisplay = 0; // when the digital clock was displayed

void loop()
{  
  if (timeStatus() != timeNotSet) {
    if (now() != prevDisplay) { //update the display only if time has changed
      prevDisplay = now();
      digitalClockDisplay();  
    }
  }

  
  Persona1 = 0; Persona2 = 0;
  ICMPEchoReply echoReply = ping(PrimoTelefono, 1);
  if (echoReply.status == SUCCESS) {
    Persona2 = 1;
    Serial.println(" ping primo telefono ok");
    SpegniAntifurto();
    TempoLetturaPresenza = 0L;
  }
  else {
    Serial.println(" ping primo telefono errore");
  }
  ICMPEchoReply echoReply1 = ping(SecondoTelefono, 1);  
  if (echoReply1.status == SUCCESS) {
    Persona1 = 1;
    Serial.println(" ping secondo telefono ok");
    SpegniAntifurto();
    TempoLetturaPresenza = 0L;
  }
  else {
        Serial.println(" ping secondo telefono errore");
  }
  if (  ((millis() / 1000L) > TempoLetturaPresenza) && (TempoLetturaPresenza > 0L) ) {
    AccendiAntifurto();
  }
  if ( (Persona1 == 0) && (Persona2 == 0) && ((millis() / 1000L) > TempoLetturaPresenza)  )
  {
    Serial.println(F("RITARDO PER ATTIVAZIONE ANTIFURTO !!!"));
    TempoLetturaPresenza = ((millis() / 1000L) + 15L);
  }
  delay(10000); //ritardo 10 secondi
  
}

void AccendiAntifurto() {
  Serial.println(F("\n++++> ANTIFURTO INCLUSO DA ASSENZA  PHONE <+\n"));
  TempoLetturaPresenza = ((millis() / 1000L) + 16L);
}
void SpegniAntifurto() {
  Serial.println(F("\n------> ANTIFURTO ESCLUSO DA PRESENZA PHONE <-\n"));
}


void digitalClockDisplay(){
  // digital clock display of the time
  Serial.print(hour());
  printDigits(minute());
  printDigits(second());
  Serial.print(" ");
  Serial.print(day());
  Serial.print(" ");
  Serial.print(month());
  Serial.print(" ");
  Serial.print(year()); 
  Serial.println(); 
}

void printDigits(int digits){
  // utility for digital clock display: prints preceding colon and leading 0
  Serial.print(":");
  if(digits < 10)
    Serial.print('0');
  Serial.print(digits);
}

/*-------- NTP code ----------*/

const int NTP_PACKET_SIZE = 48; // NTP time is in the first 48 bytes of message
byte packetBuffer[NTP_PACKET_SIZE]; //buffer to hold incoming & outgoing packets

time_t getNtpTime()
{
  while (Udp.parsePacket() > 0) ; // discard any previously received packets
  Serial.println("Transmit NTP Request");
  sendNTPpacket(timeServer);
  uint32_t beginWait = millis();
  while (millis() - beginWait < 1500) {
    int size = Udp.parsePacket();
    if (size >= NTP_PACKET_SIZE) {
      Serial.println("Receive NTP Response");
      Udp.read(packetBuffer, NTP_PACKET_SIZE);  // read packet into the buffer
      unsigned long secsSince1900;
      // convert four bytes starting at location 40 to a long integer
      secsSince1900 =  (unsigned long)packetBuffer[40] << 24;
      secsSince1900 |= (unsigned long)packetBuffer[41] << 16;
      secsSince1900 |= (unsigned long)packetBuffer[42] << 8;
      secsSince1900 |= (unsigned long)packetBuffer[43];
      return secsSince1900 - 2208988800UL + timeZone * SECS_PER_HOUR;
    }
  }
  Serial.println("No NTP Response :-(");
  return 0; // return 0 if unable to get the time
}

// send an NTP request to the time server at the given address
void sendNTPpacket(IPAddress &address)
{
  // set all bytes in the buffer to 0
  memset(packetBuffer, 0, NTP_PACKET_SIZE);
  // Initialize values needed to form NTP request
  // (see URL above for details on the packets)
  packetBuffer[0] = 0b11100011;   // LI, Version, Mode
  packetBuffer[1] = 0;     // Stratum, or type of clock
  packetBuffer[2] = 6;     // Polling Interval
  packetBuffer[3] = 0xEC;  // Peer Clock Precision
  // 8 bytes of zero for Root Delay & Root Dispersion
  packetBuffer[12]  = 49;
  packetBuffer[13]  = 0x4E;
  packetBuffer[14]  = 49;
  packetBuffer[15]  = 52;
  // all NTP fields have been given values, now
  // you can send a packet requesting a timestamp:                 
  Udp.beginPacket(address, 123); //NTP requests are to port 123
  Udp.write(packetBuffer, NTP_PACKET_SIZE);
  Udp.endPacket();
}