reserve a,b,c,k,m,n for Nat;
reserve p for Prime;

theorem
  not ex x,y being Nat st x < 14 & y < 35 & x,y satisfy_Sierpinski_problem_35
  proof
    given x,y being Nat such that
A1: x < 14 and
A2: y < 35 and
A3: x,y satisfy_Sierpinski_problem_35;
    14 = 13+1;
    then x <= 13 by A1,NAT_1:13;
    then
A4: x = 0 or ... or x = 13;
    35 = 34+1;
    then y <= 34 by A2,NAT_1:13;
    then
A5: y = 0 or ... or y = 34;
    per cases by A4;
    suppose x = 0;
      hence contradiction by A3,NAT_D:6;
    end;
    suppose x = 1;
      hence contradiction by A3,NAT_D:6;
    end;
    suppose
A6:   x = 2;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A6;
      end;
      suppose y = 2;
        hence contradiction by A3,A6;
      end;
      suppose y = 3;
        hence contradiction by A3,A6;
      end;
      suppose
A7:     y = 4;
        2 divides 2*2;
        hence contradiction by A3,A6,A7;
      end;
      suppose
A8:     y = 5;
        2 divides 2*3;
        hence contradiction by A3,A6,A8;
      end;
      suppose
A9:     y = 6;
        2 divides 2*3;
        hence contradiction by A3,A6,A9;
      end;
      suppose
A10:    y = 7;
        2 divides 2*4;
        hence contradiction by A3,A6,A10;
      end;
      suppose
A11:    y = 8;
        2 divides 2*4;
        hence contradiction by A3,A6,A11;
      end;
      suppose
A12:    y = 9;
        2 divides 2*5;
        hence contradiction by A3,A6,A12;
      end;
      suppose
A13:    y = 10;
        2 divides 2*5;
        hence contradiction by A3,A6,A13;
      end;
      suppose
A14:    y = 11;
        2 divides 2*6;
        hence contradiction by A3,A6,A14;
      end;
      suppose
A15:    y = 12;
        2 divides 2*6;
        hence contradiction by A3,A6,A15;
      end;
      suppose
A16:    y = 13;
        2 divides 2*7;
        hence contradiction by A3,A6,A16;
      end;
      suppose
A17:    y = 14;
        2 divides 2*7;
        hence contradiction by A3,A6,A17;
      end;
      suppose
A18:    y = 15;
        2 divides 2*8;
        hence contradiction by A3,A6,A18;
      end;
      suppose
A19:    y = 16;
        2 divides 2*8;
        hence contradiction by A3,A6,A19;
      end;
      suppose
A20:    y = 17;
        2 divides 2*9;
        hence contradiction by A3,A6,A20;
      end;
      suppose
A21:    y = 18;
        2 divides 2*9;
        hence contradiction by A3,A6,A21;
      end;
      suppose
A22:    y = 19;
        2 divides 2*10;
        hence contradiction by A3,A6,A22;
      end;
      suppose
A23:    y = 20;
        2 divides 2*10;
        hence contradiction by A3,A6,A23;
      end;
      suppose
A24:    y = 21;
        2 divides 2*11;
        hence contradiction by A3,A6,A24;
      end;
      suppose
A25:    y = 22;
        2 divides 2*11;
        hence contradiction by A3,A6,A25;
      end;
      suppose
A26:    y = 23;
        2 divides 2*12;
        hence contradiction by A3,A6,A26;
      end;
      suppose
A27:    y = 24;
        2 divides 2*12;
        hence contradiction by A3,A6,A27;
      end;
      suppose
A28:    y = 25;
        2 divides 2*13;
        hence contradiction by A3,A6,A28;
      end;
      suppose
A29:    y = 26;
        2 divides 2*13;
        hence contradiction by A3,A6,A29;
      end;
      suppose
A30:    y = 27;
        2 divides 2*14;
        hence contradiction by A3,A6,A30;
      end;
      suppose
A31:    y = 28;
        2 divides 2*14;
        hence contradiction by A3,A6,A31;
      end;
      suppose
A32:    y = 29;
        2 divides 2*15;
        hence contradiction by A3,A6,A32;
      end;
      suppose
A33:    y = 30;
        2 divides 2*15;
        hence contradiction by A3,A6,A33;
      end;
      suppose
A34:    y = 31;
        2 divides 2*16;
        hence contradiction by A3,A6,A34;
      end;
      suppose
A35:    y = 32;
        2 divides 2*16;
        hence contradiction by A3,A6,A35;
      end;
      suppose
A36:    y = 33;
        2 divides 2*17;
        hence contradiction by A3,A6,A36;
      end;
      suppose
A37:    y = 34;
        2 divides 2*17;
        hence contradiction by A3,A6,A37;
      end;
    end;
    suppose
A38:  x = 3;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A38,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A38;
      end;
      suppose y = 3;
        hence contradiction by A3,A38;
      end;
      suppose y = 4;
        hence contradiction by A3,A38;
      end;
      suppose
A39:    y = 5;
        3 divides 3*2;
        hence contradiction by A3,A38,A39;
      end;
      suppose
A40:    y = 6;
        3 divides 3*2;
        hence contradiction by A3,A38,A40;
      end;
      suppose
A41:    y = 7;
        4 divides 4*2;
        hence contradiction by A3,A38,A41;
      end;
      suppose
A42:    y = 8;
        4 divides 4*2;
        hence contradiction by A3,A38,A42;
      end;
      suppose
A43:    y = 9;
        3 divides 3*3;
        hence contradiction by A3,A38,A43;
      end;
      suppose
A44:    y = 10;
        110 = 12*9+2;
        hence contradiction by A3,A38,A44,NAT_4:9;
      end;
      suppose
A45:    y = 11;
        3 divides 3*4;
        hence contradiction by A3,A38,A45;
      end;
      suppose
A46:    y = 12;
        3 divides 3*4;
        hence contradiction by A3,A38,A46;
      end;
      suppose
A47:    y = 13;
        182 = 12*15+2;
        hence contradiction by A3,A38,A47,NAT_4:9;
      end;
      suppose
A48:    y = 14;
        3 divides 3*5;
        hence contradiction by A3,A38,A48;
      end;
      suppose
A49:    y = 15;
        3 divides 3*5;
        hence contradiction by A3,A38,A49;
      end;
      suppose
A50:    y = 16;
        4 divides 4*4;
        hence contradiction by A3,A38,A50;
      end;
      suppose
A51:    y = 17;
        3 divides 3*6;
        hence contradiction by A3,A38,A51;
      end;
      suppose
A52:    y = 18;
        3 divides 3*6;
        hence contradiction by A3,A38,A52;
      end;
      suppose
A53:    y = 19;
        380 = 12*31+8;
        hence contradiction by A3,A38,A53,NAT_4:9;
      end;
      suppose
A54:    y = 20;
        4 divides 4*5;
        hence contradiction by A3,A38,A54;
      end;
      suppose
A55:    y = 21;
        3 divides 3*7;
        hence contradiction by A3,A38,A55;
      end;
      suppose
A56:    y = 22;
        506 = 12*42+2;
        hence contradiction by A3,A38,A56,NAT_4:9;
      end;
      suppose
A57:    y = 23;
        3 divides 3*8;
        hence contradiction by A3,A38,A57;
      end;
      suppose
A58:    y = 24;
        3 divides 3*8;
        hence contradiction by A3,A38,A58;
      end;
      suppose
A59:    y = 25;
        650 = 12*54+2;
        hence contradiction by A3,A38,A59,NAT_4:9;
      end;
      suppose
A60:    y = 26;
        3 divides 3*9;
        hence contradiction by A3,A38,A60;
      end;
      suppose
A61:    y = 27;
        3 divides 3*9;
        hence contradiction by A3,A38,A61;
      end;
      suppose
A62:    y = 28;
        4 divides 4*7;
        hence contradiction by A3,A38,A62;
      end;
      suppose
A63:    y = 29;
        870 = 12*72+6;
        hence contradiction by A3,A38,A63,NAT_4:9;
      end;
      suppose
A64:    y = 30;
        3 divides 3*10;
        hence contradiction by A3,A38,A64;
      end;
      suppose
A65:    y = 31;
        992 = 12*82+8;
        hence contradiction by A3,A38,A65,NAT_4:9;
      end;
      suppose
A66:    y = 32;
        4 divides 4*8;
        hence contradiction by A3,A38,A66;
      end;
      suppose
A67:    y = 33;
        3 divides 3*11;
        hence contradiction by A3,A38,A67;
      end;
      suppose
A68:    y = 34;
        1190 = 12*99+2;
        hence contradiction by A3,A38,A68,NAT_4:9;
      end;
    end;
    suppose
A69:  x = 4;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A69,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A69,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A69;
      end;
      suppose y = 4;
        hence contradiction by A3,A69;
      end;
      suppose y = 5;
        hence contradiction by A3,A69;
      end;
      suppose
A70:    y = 6;
        42 = 20*2+2;
        hence contradiction by A3,A69,A70,NAT_4:9;
      end;
      suppose
A71:    y = 7;
        56 = 20*2+16;
        hence contradiction by A3,A69,A71,NAT_4:9;
      end;
      suppose
A72:    y = 8;
        4 divides 4*2;
        hence contradiction by A3,A69,A72;
      end;
      suppose
A73:    y = 9;
        90 = 20*4+10;
        hence contradiction by A3,A69,A73,NAT_4:9;
      end;
      suppose
A74:    y = 10;
        110 = 20*5+10;
        hence contradiction by A3,A69,A74,NAT_4:9;
      end;
      suppose
A75:    y = 11;
        132 = 20*6+12;
        hence contradiction by A3,A69,A75,NAT_4:9;
      end;
      suppose
A76:    y = 12;
        4 divides 4*3;
        hence contradiction by A3,A69,A76;
      end;
      suppose
A77:    y = 13;
        182 = 20*9+2;
        hence contradiction by A3,A69,A77,NAT_4:9;
      end;
      suppose
A78:    y = 14;
        210 = 20*10+10;
        hence contradiction by A3,A69,A78,NAT_4:9;
      end;
      suppose
A79:    y = 15;
        4 divides 4*4;
        hence contradiction by A3,A69,A79;
      end;
      suppose
A80:    y = 16;
        4 divides 4*4;
        hence contradiction by A3,A69,A80;
      end;
      suppose
A81:    y = 17;
        306 = 20*15+6;
        hence contradiction by A3,A69,A81,NAT_4:9;
      end;
      suppose
A82:    y = 18;
        342 = 20*17+2;
        hence contradiction by A3,A69,A82,NAT_4:9;
      end;
      suppose
A83:    y = 19;
        4 divides 4*5;
        hence contradiction by A3,A69,A83;
      end;
      suppose
A84:    y = 20;
        4 divides 4*5;
        hence contradiction by A3,A69,A84;
      end;
      suppose
A85:    y = 21;
        462 = 20*23+2;
        hence contradiction by A3,A69,A85,NAT_4:9;
      end;
      suppose
A86:    y = 22;
        506 = 20*25+6;
        hence contradiction by A3,A69,A86,NAT_4:9;
      end;
      suppose
A87:    y = 23;
        4 divides 4*6;
        hence contradiction by A3,A69,A87;
      end;
      suppose
A88:    y = 24;
        4 divides 4*6;
        hence contradiction by A3,A69,A88;
      end;
      suppose
A89:    y = 25;
        650 = 20*32+10;
        hence contradiction by A3,A69,A89,NAT_4:9;
      end;
      suppose
A90:    y = 26;
        702 = 20*35+2;
        hence contradiction by A3,A69,A90,NAT_4:9;
      end;
      suppose
A91:    y = 27;
        4 divides 4*7;
        hence contradiction by A3,A69,A91;
      end;
      suppose
A92:    y = 28;
        4 divides 4*7;
        hence contradiction by A3,A69,A92;
      end;
      suppose
A93:    y = 29;
        870 = 20*43+10;
        hence contradiction by A3,A69,A93,NAT_4:9;
      end;
      suppose
A94:    y = 30;
        930 = 20*46+10;
        hence contradiction by A3,A69,A94,NAT_4:9;
      end;
      suppose
A95:    y = 31;
        4 divides 4*8;
        hence contradiction by A3,A69,A95;
      end;
      suppose
A96:    y = 32;
        4 divides 4*8;
        hence contradiction by A3,A69,A96;
      end;
      suppose
A97:    y = 33;
        1122 = 20*56+2;
        hence contradiction by A3,A69,A97,NAT_4:9;
      end;
      suppose
A98:    y = 34;
        1190 = 20*59+10;
        hence contradiction by A3,A69,A98,NAT_4:9;
      end;
    end;
    suppose
A99:  x = 5;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A99,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A99,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A99,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A99;
      end;
      suppose y = 5;
        hence contradiction by A3,A99;
      end;
      suppose y = 6;
        hence contradiction by A3,A99;
      end;
      suppose
A100:    y = 7;
        56 = 30*1+26;
        hence contradiction by A3,A99,A100,NAT_4:9;
      end;
      suppose
A101:    y = 8;
        72 = 30*2+12;
        hence contradiction by A3,A99,A101,NAT_4:9;
      end;
      suppose
A102:    y = 9;
        5 divides 5*2;
        hence contradiction by A3,A99,A102;
      end;
      suppose
A103:    y = 10;
        5 divides 5*2;
        hence contradiction by A3,A99,A103;
      end;
      suppose
A104:    y = 11;
        132 = 30*4+12;
        hence contradiction by A3,A99,A104,NAT_4:9;
      end;
      suppose
A105:    y = 12;
        6 divides 6*2;
        hence contradiction by A3,A99,A105;
      end;
      suppose
A106:    y = 13;
        182 = 30*6+2;
        hence contradiction by A3,A99,A106,NAT_4:9;
      end;
      suppose
A107:    y = 14;
        5 divides 5*3;
        hence contradiction by A3,A99,A107;
      end;
      suppose
A108:    y = 15;
        5 divides 5*3;
        hence contradiction by A3,A99,A108;
      end;
      suppose
A109:    y = 16;
        272 = 30*9+2;
        hence contradiction by A3,A99,A109,NAT_4:9;
      end;
      suppose
A110:    y = 17;
        306 = 30*10+6;
        hence contradiction by A3,A99,A110,NAT_4:9;
      end;
      suppose
A111:    y = 18;
        6 divides 6*3;
        hence contradiction by A3,A99,A111;
      end;
      suppose
A112:    y = 19;
        5 divides 5*4;
        hence contradiction by A3,A99,A112;
      end;
      suppose
A113:    y = 20;
        5 divides 5*4;
        hence contradiction by A3,A99,A113;
      end;
      suppose
A114:    y = 21;
        462 = 30*15+12;
        hence contradiction by A3,A99,A114,NAT_4:9;
      end;
      suppose
A115:    y = 22;
        506 = 30*16+26;
        hence contradiction by A3,A99,A115,NAT_4:9;
      end;
      suppose
A116:    y = 23;
        6 divides 6*4;
        hence contradiction by A3,A99,A116;
      end;
      suppose
A117:    y = 24;
        6 divides 6*4;
        hence contradiction by A3,A99,A117;
      end;
      suppose
A118:    y = 25;
        5 divides 5*5;
        hence contradiction by A3,A99,A118;
      end;
      suppose
A119:    y = 26;
        702 = 30*23+12;
        hence contradiction by A3,A99,A119,NAT_4:9;
      end;
      suppose
A120:    y = 27;
        756 = 30*25+6;
        hence contradiction by A3,A99,A120,NAT_4:9;
      end;
      suppose
A121:    y = 28;
        812 = 30*27+2;
        hence contradiction by A3,A99,A121,NAT_4:9;
      end;
      suppose
A122:    y = 29;
        5 divides 5*6;
        hence contradiction by A3,A99,A122;
      end;
      suppose
A123:    y = 30;
        5 divides 5*6;
        hence contradiction by A3,A99,A123;
      end;
      suppose
A124:    y = 31;
        992 = 30*33+2;
        hence contradiction by A3,A99,A124,NAT_4:9;
      end;
      suppose
A125:    y = 32;
        1056 = 30*35+6;
        hence contradiction by A3,A99,A125,NAT_4:9;
      end;
      suppose
A126:    y = 33;
        1122 = 30*37+12;
        hence contradiction by A3,A99,A126,NAT_4:9;
      end;
      suppose
A127:    y = 34;
        5 divides 5*7;
        hence contradiction by A3,A99,A127;
      end;
    end;
    suppose
A128:  x = 6;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A128,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A128,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A128,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A128,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A128;
      end;
      suppose y = 6;
        hence contradiction by A3,A128;
      end;
      suppose y = 7;
        hence contradiction by A3,A128;
      end;
      suppose
A129:    y = 8;
        72 = 42*1+30;
        hence contradiction by A3,A128,A129,NAT_4:9;
      end;
      suppose
A130:    y = 9;
        90 = 42*2+6;
        hence contradiction by A3,A128,A130,NAT_4:9;
      end;
      suppose
A131:    y = 10;
        110 = 42*2+26;
        hence contradiction by A3,A128,A131,NAT_4:9;
      end;
      suppose
A132:    y = 11;
        6 divides 6*2;
        hence contradiction by A3,A128,A132;
      end;
      suppose
A133:    y = 12;
        6 divides 6*2;
        hence contradiction by A3,A128,A133;
      end;
      suppose
A134:    y = 13;
        7 divides 7*2;
        hence contradiction by A3,A128,A134;
      end;
      suppose
A135:    y = 14;
        7 divides 7*2;
        hence contradiction by A3,A128,A135;
      end;
      suppose
A136:    y = 15;
        240 = 42*5+30;
        hence contradiction by A3,A128,A136,NAT_4:9;
      end;
      suppose
A137:    y = 16;
        272 = 42*6+20;
        hence contradiction by A3,A128,A137,NAT_4:9;
      end;
      suppose
A138:    y = 17;
        6 divides 6*3;
        hence contradiction by A3,A128,A138;
      end;
      suppose
A139:    y = 18;
        6 divides 6*3;
        hence contradiction by A3,A128,A139;
      end;
      suppose
A140:    y = 19;
        380 = 42*9+2;
        hence contradiction by A3,A128,A140,NAT_4:9;
      end;
      suppose
A141:    y = 20;
        7 divides 7*3;
        hence contradiction by A3,A128,A141;
      end;
      suppose
A142:    y = 21;
        7 divides 7*3;
        hence contradiction by A3,A128,A142;
      end;
      suppose
A143:    y = 22;
        506 = 42*12+2;
        hence contradiction by A3,A128,A143,NAT_4:9;
      end;
      suppose
A144:    y = 23;
        6 divides 6*4;
        hence contradiction by A3,A128,A144;
      end;
      suppose
A145:    y = 24;
        6 divides 6*4;
        hence contradiction by A3,A128,A145;
      end;
      suppose
A146:    y = 25;
        650 = 42*15+20;
        hence contradiction by A3,A128,A146,NAT_4:9;
      end;
      suppose
A147:    y = 26;
        702 = 42*16+30;
        hence contradiction by A3,A128,A147,NAT_4:9;
      end;
      suppose
A148:    y = 27;
        7 divides 7*4;
        hence contradiction by A3,A128,A148;
      end;
      suppose
A149:    y = 28;
        7 divides 7*4;
        hence contradiction by A3,A128,A149;
      end;
      suppose
A150:    y = 29;
        6 divides 6*5;
        hence contradiction by A3,A128,A150;
      end;
      suppose
A151:    y = 30;
        6 divides 6*5;
        hence contradiction by A3,A128,A151;
      end;
      suppose
A152:    y = 31;
        992 = 42*23+26;
        hence contradiction by A3,A128,A152,NAT_4:9;
      end;
      suppose
A153:    y = 32;
        1056 = 42*25+6;
        hence contradiction by A3,A128,A153,NAT_4:9;
      end;
      suppose
A154:    y = 33;
        1122 = 42*26+30;
        hence contradiction by A3,A128,A154,NAT_4:9;
      end;
      suppose
A155:    y = 34;
        7 divides 7*5;
        hence contradiction by A3,A128,A155;
      end;
    end;
    suppose
A156:  x = 7;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A156,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A156,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A156,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A156,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A156,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A156;
      end;
      suppose y = 7;
        hence contradiction by A3,A156;
      end;
      suppose y = 8;
        hence contradiction by A3,A156;
      end;
      suppose
A157:    y = 9;
        90 = 56*1+34;
        hence contradiction by A3,A156,A157,NAT_4:9;
      end;
      suppose
A158:    y = 10;
        110 = 56*1+54;
        hence contradiction by A3,A156,A158,NAT_4:9;
      end;
      suppose
A159:    y = 11;
        132 = 56*2+20;
        hence contradiction by A3,A156,A159,NAT_4:9;
      end;
      suppose
A160:    y = 12;
        156 = 56*2+44;
        hence contradiction by A3,A156,A160,NAT_4:9;
      end;
      suppose
A161:    y = 13;
        7 divides 7*2;
        hence contradiction by A3,A156,A161;
      end;
      suppose
A162:    y = 14;
        7 divides 7*2;
        hence contradiction by A3,A156,A162;
      end;
      suppose
A163:    y = 15;
        8 divides 8*2;
        hence contradiction by A3,A156,A163;
      end;
      suppose
A164:    y = 16;
        8 divides 8*2;
        hence contradiction by A3,A156,A164;
      end;
      suppose
A165:    y = 17;
        306 = 56*5+26;
        hence contradiction by A3,A156,A165,NAT_4:9;
      end;
      suppose
A166:    y = 18;
        342 = 56*6+6;
        hence contradiction by A3,A156,A166,NAT_4:9;
      end;
      suppose
A167:    y = 19;
        380 = 56*6+44;
        hence contradiction by A3,A156,A167,NAT_4:9;
      end;
      suppose
A168:    y = 20;
        7 divides 7*3;
        hence contradiction by A3,A156,A168;
      end;
      suppose
A169:    y = 21;
        7 divides 7*3;
        hence contradiction by A3,A156,A169;
      end;
      suppose
A170:    y = 22;
        506 = 56*9+2;
        hence contradiction by A3,A156,A170,NAT_4:9;
      end;
      suppose
A171:    y = 23;
        8 divides 8*3;
        hence contradiction by A3,A156,A171;
      end;
      suppose
A172:    y = 24;
        8 divides 8*3;
        hence contradiction by A3,A156,A172;
      end;
      suppose
A173:    y = 25;
        650 = 56*11+34;
        hence contradiction by A3,A156,A173,NAT_4:9;
      end;
      suppose
A174:    y = 26;
        702 = 56*12+30;
        hence contradiction by A3,A156,A174,NAT_4:9;
      end;
      suppose
A175:    y = 27;
        7 divides 7*4;
        hence contradiction by A3,A156,A175;
      end;
      suppose
A176:    y = 28;
        7 divides 7*4;
        hence contradiction by A3,A156,A176;
      end;
      suppose
A177:    y = 29;
        870 = 56*15+30;
        hence contradiction by A3,A156,A177,NAT_4:9;
      end;
      suppose
A178:    y = 30;
        930 = 56*16+34;
        hence contradiction by A3,A156,A178,NAT_4:9;
      end;
      suppose
A179:    y = 31;
        8 divides 8*4;
        hence contradiction by A3,A156,A179;
      end;
      suppose
A180:    y = 32;
        8 divides 8*4;
        hence contradiction by A3,A156,A180;
      end;
      suppose
A181:    y = 33;
        1122 = 56*20+2;
        hence contradiction by A3,A156,A181,NAT_4:9;
      end;
      suppose
A182:    y = 34;
        7 divides 7*5;
        hence contradiction by A3,A156,A182;
      end;
    end;
    suppose
A183:  x = 8;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A183,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A183;
      end;
      suppose y = 8;
        hence contradiction by A3,A183;
      end;
      suppose y = 9;
        hence contradiction by A3,A183;
      end;
      suppose
A184:    y = 10;
        110 = 72*1+38;
        hence contradiction by A3,A183,A184,NAT_4:9;
      end;
      suppose
A185:    y = 11;
        132 = 72*1+60;
        hence contradiction by A3,A183,A185,NAT_4:9;
      end;
      suppose
A186:    y = 12;
        156 = 72*2+12;
        hence contradiction by A3,A183,A186,NAT_4:9;
      end;
      suppose
A187:    y = 13;
        182 = 72*2+38;
        hence contradiction by A3,A183,A187,NAT_4:9;
      end;
      suppose
A188:    y = 14;
        210 = 72*2+66;
        hence contradiction by A3,A183,A188,NAT_4:9;
      end;
      suppose
A189:    y = 15;
        8 divides 8*2;
        hence contradiction by A3,A183,A189;
      end;
      suppose
A190:    y = 16;
        8 divides 8*2;
        hence contradiction by A3,A183,A190;
      end;
      suppose
A191:    y = 17;
        9 divides 9*2;
        hence contradiction by A3,A183,A191;
      end;
      suppose
A192:    y = 18;
        9 divides 9*2;
        hence contradiction by A3,A183,A192;
      end;
      suppose
A193:    y = 19;
        380 = 72*5+20;
        hence contradiction by A3,A183,A193,NAT_4:9;
      end;
      suppose
A194:    y = 20;
        420 = 72*5+60;
        hence contradiction by A3,A183,A194,NAT_4:9;
      end;
      suppose
A195:    y = 21;
        462 = 72*6+30;
        hence contradiction by A3,A183,A195,NAT_4:9;
      end;
      suppose
A196:    y = 22;
        506 = 72*7+2;
        hence contradiction by A3,A183,A196,NAT_4:9;
      end;
      suppose
A197:    y = 23;
        8 divides 8*3;
        hence contradiction by A3,A183,A197;
      end;
      suppose
A198:    y = 24;
        8 divides 8*3;
        hence contradiction by A3,A183,A198;
      end;
      suppose
A199:    y = 25;
        650 = 72*9+2;
        hence contradiction by A3,A183,A199,NAT_4:9;
      end;
      suppose
A200:    y = 26;
        9 divides 9*3;
        hence contradiction by A3,A183,A200;
      end;
      suppose
A201:    y = 27;
        9 divides 9*3;
        hence contradiction by A3,A183,A201;
      end;
      suppose
A202:    y = 28;
        812 = 72*11+20;
        hence contradiction by A3,A183,A202,NAT_4:9;
      end;
      suppose
A203:    y = 29;
        870 = 72*12+6;
        hence contradiction by A3,A183,A203,NAT_4:9;
      end;
      suppose
A204:    y = 30;
        930 = 72*12+66;
        hence contradiction by A3,A183,A204,NAT_4:9;
      end;
      suppose
A205:    y = 31;
        8 divides 8*4;
        hence contradiction by A3,A183,A205;
      end;
      suppose
A206:    y = 32;
        8 divides 8*4;
        hence contradiction by A3,A183,A206;
      end;
      suppose
A207:    y = 33;
        1122 = 72*15+42;
        hence contradiction by A3,A183,A207,NAT_4:9;
      end;
      suppose
A208:    y = 34;
        1190 = 72*16+38;
        hence contradiction by A3,A183,A208,NAT_4:9;
      end;
    end;
    suppose
A209:  x = 9;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A209,NAT_D:7;
      end;
      suppose y = 8;
        hence contradiction by A3,A209;
      end;
      suppose y = 9;
        hence contradiction by A3,A209;
      end;
      suppose y = 10;
        hence contradiction by A3,A209;
      end;
      suppose
A210:    y = 11;
        132 = 90*1+42;
        hence contradiction by A3,A209,A210,NAT_4:9;
      end;
      suppose
A211:    y = 12;
        156 = 90*1+66;
        hence contradiction by A3,A209,A211,NAT_4:9;
      end;
      suppose
A212:    y = 13;
        182 = 90*2+2;
        hence contradiction by A3,A209,A212,NAT_4:9;
      end;
      suppose
A213:    y = 14;
        210 = 90*2+30;
        hence contradiction by A3,A209,A213,NAT_4:9;
      end;
      suppose
A214:    y = 15;
        240 = 90*2+60;
        hence contradiction by A3,A209,A214,NAT_4:9;
      end;
      suppose
A215:    y = 16;
        272 = 90*3+2;
        hence contradiction by A3,A209,A215,NAT_4:9;
      end;
      suppose
A216:    y = 17;
        9 divides 9*2;
        hence contradiction by A3,A209,A216;
      end;
      suppose
A217:    y = 18;
        9 divides 9*2;
        hence contradiction by A3,A209,A217;
      end;
      suppose
A218:    y = 19;
        10 divides 10*2;
        hence contradiction by A3,A209,A218;
      end;
      suppose
A219:    y = 20;
        10 divides 10*2;
        hence contradiction by A3,A209,A219;
      end;
      suppose
A220:    y = 21;
        462 = 90*5+12;
        hence contradiction by A3,A209,A220,NAT_4:9;
      end;
      suppose
A221:    y = 22;
        506 = 90*5+56;
        hence contradiction by A3,A209,A221,NAT_4:9;
      end;
      suppose
A222:    y = 23;
        552 = 90*6+12;
        hence contradiction by A3,A209,A222,NAT_4:9;
      end;
      suppose
A223:    y = 24;
        600 = 90*6+60;
        hence contradiction by A3,A209,A223,NAT_4:9;
      end;
      suppose
A224:    y = 25;
        650 = 90*7+20;
        hence contradiction by A3,A209,A224,NAT_4:9;
      end;
      suppose
A225:    y = 26;
        9 divides 9*3;
        hence contradiction by A3,A209,A225;
      end;
      suppose
A226:    y = 27;
        9 divides 9*3;
        hence contradiction by A3,A209,A226;
      end;
      suppose
A227:    y = 28;
        812 = 90*9+2;
        hence contradiction by A3,A209,A227,NAT_4:9;
      end;
      suppose
A228:    y = 29;
        10 divides 10*3;
        hence contradiction by A3,A209,A228;
      end;
      suppose
A229:    y = 30;
        10 divides 10*3;
        hence contradiction by A3,A209,A229;
      end;
      suppose
A230:    y = 31;
        992 = 90*11+2;
        hence contradiction by A3,A209,A230,NAT_4:9;
      end;
      suppose
A231:    y = 32;
        1056 = 90*11+66;
        hence contradiction by A3,A209,A231,NAT_4:9;
      end;
      suppose
A232:    y = 33;
        1122 = 90*12+42;
        hence contradiction by A3,A209,A232,NAT_4:9;
      end;
      suppose
A233:    y = 34;
        1190 = 90*13+20;
        hence contradiction by A3,A209,A233,NAT_4:9;
      end;
    end;
    suppose
A234:  x = 10;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 8;
        hence contradiction by A3,A234,NAT_D:7;
      end;
      suppose y = 9;
        hence contradiction by A3,A234;
      end;
      suppose y = 10;
        hence contradiction by A3,A234;
      end;
      suppose y = 11;
        hence contradiction by A3,A234;
      end;
      suppose
A235:    y = 12;
        156 = 110*1+46;
        hence contradiction by A3,A234,A235,NAT_4:9;
      end;
      suppose
A236:    y = 13;
        182 = 110*1+72;
        hence contradiction by A3,A234,A236,NAT_4:9;
      end;
      suppose
A237:    y = 14;
        210 = 110*1+100;
        hence contradiction by A3,A234,A237,NAT_4:9;
      end;
      suppose
A238:    y = 15;
        240 = 110*2+20;
        hence contradiction by A3,A234,A238,NAT_4:9;
      end;
      suppose
A239:    y = 16;
        272 = 110*2+52;
        hence contradiction by A3,A234,A239,NAT_4:9;
      end;
      suppose
A240:    y = 17;
        306 = 110*2+86;
        hence contradiction by A3,A234,A240,NAT_4:9;
      end;
      suppose
A241:    y = 18;
        342 = 110*3+12;
        hence contradiction by A3,A234,A241,NAT_4:9;
      end;
      suppose
A242:    y = 19;
        10 divides 10*2;
        hence contradiction by A3,A234,A242;
      end;
      suppose
A243:    y = 20;
        10 divides 10*2;
        hence contradiction by A3,A234,A243;
      end;
      suppose
A244:    y = 21;
        11 divides 11*2;
        hence contradiction by A3,A234,A244;
      end;
      suppose
A245:    y = 22;
        11 divides 11*2;
        hence contradiction by A3,A234,A245;
      end;
      suppose
A246:    y = 23;
        552 = 110*5+2;
        hence contradiction by A3,A234,A246,NAT_4:9;
      end;
      suppose
A247:    y = 24;
        600 = 110*5+50;
        hence contradiction by A3,A234,A247,NAT_4:9;
      end;
      suppose
A248:    y = 25;
        650 = 110*5+100;
        hence contradiction by A3,A234,A248,NAT_4:9;
      end;
      suppose
A249:    y = 26;
        702 = 110*6+42;
        hence contradiction by A3,A234,A249,NAT_4:9;
      end;
      suppose
A250:    y = 27;
        756 = 110*6+96;
        hence contradiction by A3,A234,A250,NAT_4:9;
      end;
      suppose
A251:    y = 28;
        812 = 110*7+42;
        hence contradiction by A3,A234,A251,NAT_4:9;
      end;
      suppose
A252:    y = 29;
        10 divides 10*3;
        hence contradiction by A3,A234,A252;
      end;
      suppose
A253:    y = 30;
        10 divides 10*3;
        hence contradiction by A3,A234,A253;
      end;
      suppose
A254:    y = 31;
        992 = 110*9+2;
        hence contradiction by A3,A234,A254,NAT_4:9;
      end;
      suppose
A255:    y = 32;
        11 divides 11*3;
        hence contradiction by A3,A234,A255;
      end;
      suppose
A256:    y = 33;
        11 divides 11*3;
        hence contradiction by A3,A234,A256;
      end;
      suppose
A257:    y = 34;
        1190 = 110*10+90;
        hence contradiction by A3,A234,A257,NAT_4:9;
      end;
    end;
    suppose
A258:  x = 11;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 8;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 9;
        hence contradiction by A3,A258,NAT_D:7;
      end;
      suppose y = 10;
        hence contradiction by A3,A258;
      end;
      suppose y = 11;
        hence contradiction by A3,A258;
      end;
      suppose y = 12;
        hence contradiction by A3,A258;
      end;
      suppose
A259:    y = 13;
        182 = 132*1+50;
        hence contradiction by A3,A258,A259,NAT_4:9;
      end;
      suppose
A260:    y = 14;
        210 = 132*1+78;
        hence contradiction by A3,A258,A260,NAT_4:9;
      end;
      suppose
A261:    y = 15;
        240 = 132*1+108;
        hence contradiction by A3,A258,A261,NAT_4:9;
      end;
      suppose
A262:    y = 16;
        272 = 132*2+8;
        hence contradiction by A3,A258,A262,NAT_4:9;
      end;
      suppose
A263:    y = 17;
        306 = 132*2+42;
        hence contradiction by A3,A258,A263,NAT_4:9;
      end;
      suppose
A264:    y = 18;
        342 = 132*2+78;
        hence contradiction by A3,A258,A264,NAT_4:9;
      end;
      suppose
A265:    y = 19;
        380 = 132*2+116;
        hence contradiction by A3,A258,A265,NAT_4:9;
      end;
      suppose
A266:    y = 20;
        420 = 132*3+24;
        hence contradiction by A3,A258,A266,NAT_4:9;
      end;
      suppose
A267:    y = 21;
        11 divides 11*2;
        hence contradiction by A3,A258,A267;
      end;
      suppose
A268:    y = 22;
        11 divides 11*2;
        hence contradiction by A3,A258,A268;
      end;
      suppose
A269:    y = 23;
        12 divides 12*2;
        hence contradiction by A3,A258,A269;
      end;
      suppose
A270:    y = 24;
        12 divides 12*2;
        hence contradiction by A3,A258,A270;
      end;
      suppose
A271:    y = 25;
        650 = 132*4+122;
        hence contradiction by A3,A258,A271,NAT_4:9;
      end;
      suppose
A272:    y = 26;
        702 = 132*5+42;
        hence contradiction by A3,A258,A272,NAT_4:9;
      end;
      suppose
A273:    y = 27;
        756 = 132*5+96;
        hence contradiction by A3,A258,A273,NAT_4:9;
      end;
      suppose
A274:    y = 28;
        812 = 132*6+20;
        hence contradiction by A3,A258,A274,NAT_4:9;
      end;
      suppose
A275:    y = 29;
        870 = 132*6+78;
        hence contradiction by A3,A258,A275,NAT_4:9;
      end;
      suppose
A276:    y = 30;
        930 = 132*7+6;
        hence contradiction by A3,A258,A276,NAT_4:9;
      end;
      suppose
A277:    y = 31;
        992 = 132*7+68;
        hence contradiction by A3,A258,A277,NAT_4:9;
      end;
      suppose
A278:    y = 32;
        11 divides 11*3;
        hence contradiction by A3,A258,A278;
      end;
      suppose
A279:    y = 33;
        11 divides 11*3;
        hence contradiction by A3,A258,A279;
      end;
      suppose
A280:    y = 34;
        1190 = 132*9+2;
        hence contradiction by A3,A258,A280,NAT_4:9;
      end;
    end;
    suppose
A281:  x = 12;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 8;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 9;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 10;
        hence contradiction by A3,A281,NAT_D:7;
      end;
      suppose y = 11;
        hence contradiction by A3,A281;
      end;
      suppose y = 12;
        hence contradiction by A3,A281;
      end;
      suppose y = 13;
        hence contradiction by A3,A281;
      end;
      suppose
A282:    y = 14;
        210 = 156*1+54;
        hence contradiction by A3,A281,A282,NAT_4:9;
      end;
      suppose
A283:    y = 15;
        240 = 156*1+84;
        hence contradiction by A3,A281,A283,NAT_4:9;
      end;
      suppose
A284:    y = 16;
        272 = 156*1+116;
        hence contradiction by A3,A281,A284,NAT_4:9;
      end;
      suppose
A285:    y = 17;
        306 = 156*1+150;
        hence contradiction by A3,A281,A285,NAT_4:9;
      end;
      suppose
A286:    y = 18;
        342 = 156*2+30;
        hence contradiction by A3,A281,A286,NAT_4:9;
      end;
      suppose
A287:    y = 19;
        380 = 156*2+68;
        hence contradiction by A3,A281,A287,NAT_4:9;
      end;
      suppose
A288:    y = 20;
        420 = 156*2+108;
        hence contradiction by A3,A281,A288,NAT_4:9;
      end;
      suppose
A289:    y = 21;
        462 = 156*2+150;
        hence contradiction by A3,A281,A289,NAT_4:9;
      end;
      suppose
A290:    y = 22;
        506 = 156*3+38;
        hence contradiction by A3,A281,A290,NAT_4:9;
      end;
      suppose
A291:    y = 23;
        12 divides 12*2;
        hence contradiction by A3,A281,A291;
      end;
      suppose
A292:    y = 24;
        12 divides 12*2;
        hence contradiction by A3,A281,A292;
      end;
      suppose
A293:    y = 25;
        13 divides 13*2;
        hence contradiction by A3,A281,A293;
      end;
      suppose
A294:    y = 26;
        13 divides 13*2;
        hence contradiction by A3,A281,A294;
      end;
      suppose
A295:    y = 27;
        756 = 156*4+132;
        hence contradiction by A3,A281,A295,NAT_4:9;
      end;
      suppose
A296:    y = 28;
        812 = 156*5+32;
        hence contradiction by A3,A281,A296,NAT_4:9;
      end;
      suppose
A297:    y = 29;
        870 = 156*5+90;
        hence contradiction by A3,A281,A297,NAT_4:9;
      end;
      suppose
A298:    y = 30;
        930 = 156*5+150;
        hence contradiction by A3,A281,A298,NAT_4:9;
      end;
      suppose
A299:    y = 31;
        992 = 156*6+56;
        hence contradiction by A3,A281,A299,NAT_4:9;
      end;
      suppose
A300:    y = 32;
        1056 = 156*6+120;
        hence contradiction by A3,A281,A300,NAT_4:9;
      end;
      suppose
A301:    y = 33;
        1122 = 156*7+30;
        hence contradiction by A3,A281,A301,NAT_4:9;
      end;
      suppose
A302:    y = 34;
        1190 = 156*7+98;
        hence contradiction by A3,A281,A302,NAT_4:9;
      end;
    end;
    suppose
A303:  x = 13;
      per cases by A5;
      suppose y = 0;
        hence contradiction by A3,NAT_D:6;
      end;
      suppose y = 1;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 2;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 3;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 4;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 5;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 6;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 7;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 8;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 9;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 10;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 11;
        hence contradiction by A3,A303,NAT_D:7;
      end;
      suppose y = 12;
        hence contradiction by A3,A303;
      end;
      suppose y = 13;
        hence contradiction by A3,A303;
      end;
      suppose y = 14;
        hence contradiction by A3,A303;
      end;
      suppose
A304:    y = 15;
        240 = 182*1+58;
        hence contradiction by A3,A303,A304,NAT_4:9;
      end;
      suppose
A305:    y = 16;
        272 = 182*1+90;
        hence contradiction by A3,A303,A305,NAT_4:9;
      end;
      suppose
A306:    y = 17;
        306 = 182*1+124;
        hence contradiction by A3,A303,A306,NAT_4:9;
      end;
      suppose
A307:    y = 18;
        342 = 182*1+160;
        hence contradiction by A3,A303,A307,NAT_4:9;
      end;
      suppose
A308:    y = 19;
        380 = 182*2+16;
        hence contradiction by A3,A303,A308,NAT_4:9;
      end;
      suppose
A309:    y = 20;
        420 = 182*2+56;
        hence contradiction by A3,A303,A309,NAT_4:9;
      end;
      suppose
A310:    y = 21;
        462 = 182*2+98;
        hence contradiction by A3,A303,A310,NAT_4:9;
      end;
      suppose
A311:    y = 22;
        506 = 182*2+142;
        hence contradiction by A3,A303,A311,NAT_4:9;
      end;
      suppose
A312:    y = 23;
        552 = 182*3+6;
        hence contradiction by A3,A303,A312,NAT_4:9;
      end;
      suppose
A313:    y = 24;
        600 = 182*3+54;
        hence contradiction by A3,A303,A313,NAT_4:9;
      end;
      suppose
A314:    y = 25;
        13 divides 13*2;
        hence contradiction by A3,A303,A314;
      end;
      suppose
A315:    y = 26;
        13 divides 13*2;
        hence contradiction by A3,A303,A315;
      end;
      suppose
A316:    y = 27;
        14 divides 14*2;
        hence contradiction by A3,A303,A316;
      end;
      suppose
A317:    y = 28;
        14 divides 14*2;
        hence contradiction by A3,A303,A317;
      end;
      suppose
A318:    y = 29;
        870 = 182*4+142;
        hence contradiction by A3,A303,A318,NAT_4:9;
      end;
      suppose
A319:    y = 30;
        930 = 182*5+20;
        hence contradiction by A3,A303,A319,NAT_4:9;
      end;
      suppose
A320:    y = 31;
        992 = 182*5+82;
        hence contradiction by A3,A303,A320,NAT_4:9;
      end;
      suppose
A321:    y = 32;
        1056 = 182*5+146;
        hence contradiction by A3,A303,A321,NAT_4:9;
      end;
      suppose
A322:    y = 33;
        1122 = 182*6+30;
        hence contradiction by A3,A303,A322,NAT_4:9;
      end;
      suppose
A323:    y = 34;
        1190 = 182*6+98;
        hence contradiction by A3,A303,A323,NAT_4:9;
      end;
    end;
  end;
