C if condition executing even if condition doesn't matches

Question

This if (strcmp(strlwr(p1Output), symbols[0]) != 0 || strcmp(strlwr(p1Output), symbols[1]) != 0 || strcmp(strlwr(p1Output), symbols[2]) != 0) If statementis executing even if I enter rock, paper and scissor.

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <time.h>

int main(void) {
    char *p1Output, *p2Output;
    char *p1Name = "Player 1", *p2Name = "Player 2";
    char *symbols[] = {"rock", "paper", "scissor"};
    unsigned int lenSymbArr = sizeof(symbols) / sizeof(symbols[0]);
    unsigned int maxLen = 0, nRand = 0;
    unsigned int p1 = 0, p2 = 0; //initial value is 0
    char ask;
    int flag = 1;

    for (int i = 0; i < lenSymbArr; i++) { //Max length string in array name symbols
        if (maxLen < strlen(symbols[i]))
            maxLen = strlen(symbols[i]);
    }
    maxLen += 2;

    srand(time(NULL));

    while (flag > 0) {
        for (int i = 0; i < 3; i++) {
            p1Output = (char *) malloc(maxLen * sizeof(char));
            printf("%s turn: ", p1Name);
            fgets(p1Output, maxLen, stdin);
            p1Output[strcspn(p1Output, "\n")] = 0;

            if (strcmp(strlwr(p1Output), symbols[0]) != 0 || strcmp(strlwr(p1Output), symbols[1]) != 0 || strcmp(strlwr(p1Output), symbols[2]) != 0) {
                while (strcmp(strlwr(p1Output), symbols[0]) != 0 || strcmp(strlwr(p1Output), symbols[1]) != 0 || strcmp(strlwr(p1Output), symbols[2]) != 0) {
                    free(p1Output);
                    p1Output = (char *) malloc(maxLen * sizeof(char));
                    printf("You have entered wrong input, please enter from (%s, %s and %s) only.\n", symbols[0], symbols[1], symbols[2]);
                    printf("%s turn: ", p1Name);
                    fgets(p1Output, maxLen, stdin);
                    p1Output[strcspn(p1Output, "\n")] = 0;
                    if (strlen(p1Output) == 8)
                        p1Output[strlen(p1Output) - 1] = '\n';
                }
            }
            
            else {
                if (strlen(p1Output) == 8)
                    p1Output[strlen(p1Output) - 1] = '\n';
                
                p1Output[strcspn(p1Output, "\n")] = 0;
                nRand = rand() % lenSymbArr; //This will generate random choice for CPU
                p2Output = symbols[nRand];  
                printf("%s turn: %s\n", p2Name, p2Output);
            }
            
            //p1 p2 win condition
            if (strcmp(strlwr(p1Output), symbols[0]) == 0 && strcmp(p2Output, symbols[1]) == 0) {
                printf("\n%s Wins!\n\n", p2Name);
                free(p1Output);
                p2++;
            }
            else if (strcmp(strlwr(p1Output), symbols[0]) == 0 && strcmp(p2Output, symbols[2]) == 0) {
                printf("\n%s Wins!\n\n", p1Name);
                free(p1Output);
                p1++;
            }
            else if (strcmp(strlwr(p1Output), symbols[1]) == 0 && strcmp(p2Output, symbols[0]) == 0) {
                printf("\n%s Wins!\n\n", p1Name);
                free(p1Output);
                p1++;
            }
            else if (strcmp(strlwr(p1Output), symbols[1]) == 0 && strcmp(p2Output, symbols[2]) == 0) {
                printf("\n%s Wins!\n\n", p2Name);
                free(p1Output);
                p2++;
            }
            else if (strcmp(strlwr(p1Output), symbols[2]) == 0 && strcmp(p2Output, symbols[0]) == 0) {
                printf("\n%s Wins!\n\n", p2Name);
                // free(p1Output);
                p2++;
            }
            else if (strcmp(strlwr(p1Output), symbols[2]) == 0 && strcmp(p2Output, symbols[1]) == 0) {
                printf("\n%s Wins!\n\n", p1Name);
                free(p1Output);
                p1++;
            }
            else {
                printf("\nDraw!\n\n");
                free(p1Output);
            }    
        }

        if (p1 > p2)
            printf("%s Wins!!! with %d point\n", p1Name, p1);
        else if (p2 > p1)
            printf("%s Wins!!! with %d point\n", p2Name, p2);
        else 
            printf("Match Draw!\n");
    
        printf("Do you want to play again? Y/N for Yes or No: ");
        scanf("%c", &ask);
        getchar();

        while (ask != 'Y' || ask != 'y' || ask != 'N' || ask != 'n') {
            if (ask == 'N' || ask == 'n') {
                flag = 0;
                break;
            }
            else if (ask == 'Y' || ask == 'y') 
                break;
            else {
                printf("Please enter choice from Y or N only: ");
                scanf("%c", &ask);
                getchar();
            }
        }
    }
    return 0; 
}