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Discrete mathematical problem
Suppose P: Xiao Zhang likes math, Q: Xiao Li likes math, and R: Xiao Zhao likes math.

Student: Xiao Li likes physics and Xiao Zhang likes math.

If Xiao Zhang likes math, Xiao Li or Xiao Zhao also likes math, symbolized as P → Q ∨ R.

If Xiao Li likes math, he also likes physics, symbolized as Q→S,

Xiao Li doesn't like physics and is symbolized as non-S.

Premise P→Q∨R, Q→S,, p, non-s, conclusion r

The constructive reasoning is as follows:

( 1)Q→S P

(2) Non-Standard & Poor's

(3) Non-Q T (1)(2)

(4)P P

(5)P→Q∨R P

(6)Q∞R T(4)(5)

(7) Rule (3)(6)