Prompt:
Use the CLOSED-WORLD ASSUMPTION with NEGATION-AS-FAILURE, interpreted operationally as in Prolog-style reasoning. A positive goal is 'true' if it can be derived by a terminating proof from the rules. A positive goal is 'false' if every attempted proof of it finitely fails. The default-negated goal not G is 'true' if the goal G finitely fails, and 'false' if G succeeds. If evaluating the goal does not terminate, gets stuck because of negation (flounders), or otherwise cannot produce a definite success or finite failure, answer 'Cannot be determined.' Answer 'Definitely yes' for true, 'Definitely no' for 'false', and 'Cannot be determined' when no definite operational result is obtained.

Rules:
Proposition v19 is true if proposition w19 is not true. Proposition bad is true if proposition v6 is true and proposition w10 is true and proposition v16 is true and proposition bad is not true. Proposition w10 is true if proposition v10 is not true. Proposition v7 is true if proposition w7 is not true. Proposition w19 is true if proposition v19 is not true. Proposition bad is true if proposition w6 is true and proposition w8 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w17 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition v5 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v7 is true and proposition v19 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition v17 is true and proposition w2 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w4 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v14 is true and proposition v13 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w1 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w8 is true and proposition v0 is true and proposition bad is not true. Proposition t2 is true if proposition t3 is true. Proposition bad is true if proposition w16 is true and proposition v0 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v2 is true and proposition v21 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition w13 is true and proposition w5 is true and proposition bad is not true. Proposition w6 is true if proposition v6 is not true. Proposition bad is true if proposition w0 is true and proposition w17 is true and proposition v7 is true and proposition bad is not true. Proposition v8 is true if proposition w8 is not true. Proposition bad is true if proposition w9 is true and proposition w10 is true and proposition w14 is true and proposition bad is not true. Proposition s2 is true. Proposition w21 is true if proposition v21 is not true. Proposition bad is true if proposition v4 is true and proposition v17 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition w9 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition w13 is true and proposition w6 is true and proposition v7 is true and proposition bad is not true. Proposition v12 is true if proposition w12 is not true. Proposition w3 is true if proposition v3 is not true. Proposition bad is true if proposition v8 is true and proposition w3 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w17 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w11 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition v17 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v3 is true and proposition w6 is true and proposition w4 is true and proposition bad is not true. Proposition s1 is true. Proposition v0 is true if proposition w0 is not true. Proposition v9 is true if proposition w9 is not true. Proposition bad is true if proposition w7 is true and proposition w17 is true and proposition v3 is true and proposition bad is not true. Proposition q is true if proposition t0 is true and proposition wide is true. Proposition bad is true if proposition w13 is true and proposition w3 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w12 is true and proposition w8 is true and proposition bad is not true. Proposition s3 is true. Proposition w18 is true if proposition v18 is not true. Proposition bad is true if proposition w10 is true and proposition v19 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w18 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w20 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition v6 is true and proposition v2 is true and proposition bad is not true. Proposition t1 is true if proposition t2 is true. Proposition v16 is true if proposition w16 is not true. Proposition bad is true if proposition w7 is true and proposition v11 is true and proposition v12 is true and proposition bad is not true. Proposition v11 is true if proposition w11 is not true. Proposition w0 is true if proposition v0 is not true. Proposition bad is true if proposition v9 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w17 is true and proposition w7 is true and proposition bad is not true. Proposition w4 is true if proposition v4 is not true. Proposition bad is true if proposition v10 is true and proposition w21 is true and proposition w18 is true and proposition bad is not true. Proposition v2 is true if proposition w2 is not true. Proposition bad is true if proposition v17 is true and proposition w4 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition w6 is true and proposition v1 is true and proposition v12 is true and proposition bad is not true. Proposition w2 is true if proposition v2 is not true. Proposition v20 is true if proposition w20 is not true. Proposition bad is true if proposition w0 is true and proposition v11 is true and proposition w3 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v8 is true and proposition v12 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v19 is true and proposition w12 is true and proposition bad is not true. Proposition v6 is true if proposition w6 is not true. Proposition w7 is true if proposition v7 is not true. Proposition w1 is true if proposition v1 is not true. Proposition bad is true if proposition v21 is true and proposition v6 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition w0 is true and proposition w2 is true and proposition bad is not true. Proposition w20 is true if proposition v20 is not true. Proposition bad is true if proposition w9 is true and proposition w3 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition v10 is true and proposition w12 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v1 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w7 is true and proposition v2 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition w18 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w3 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v19 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w12 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition v10 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v7 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w8 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v20 is true and proposition w13 is true and proposition bad is not true. Proposition w17 is true if proposition v17 is not true. Proposition bad is true if proposition v11 is true and proposition w7 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w13 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w4 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition w5 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition w14 is true and proposition v7 is true and proposition bad is not true. Proposition v21 is true if proposition w21 is not true. Proposition v3 is true if proposition w3 is not true. Proposition bad is true if proposition v5 is true and proposition w2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition v18 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w0 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v4 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v12 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition v14 is true and proposition w18 is true and proposition bad is not true. Proposition t3 is true if proposition t4 is true. Proposition t5 is true if proposition w7 is true. Proposition t4 is true if proposition t5 is true. Proposition bad is true if proposition w8 is true and proposition v15 is true and proposition w2 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v2 is true and proposition v15 is true and proposition bad is not true. Proposition wide is true if proposition s0 is true and proposition s1 is true and proposition s2 is true and proposition s3 is true. Proposition w14 is true if proposition v14 is not true. Proposition bad is true if proposition w16 is true and proposition w5 is true and proposition w15 is true and proposition bad is not true. Proposition w9 is true if proposition v9 is not true. Proposition v1 is true if proposition w1 is not true. Proposition v17 is true if proposition w17 is not true. Proposition v4 is true if proposition w4 is not true. Proposition w11 is true if proposition v11 is not true. Proposition bad is true if proposition w2 is true and proposition v13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition v10 is true and proposition w1 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w5 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition w14 is true and proposition w11 is true and proposition bad is not true. Proposition v18 is true if proposition w18 is not true. Proposition bad is true if proposition w4 is true and proposition v21 is true and proposition w9 is true and proposition bad is not true. Proposition w8 is true if proposition v8 is not true. Proposition bad is true if proposition v7 is true and proposition v20 is true and proposition v5 is true and proposition bad is not true. Proposition v14 is true if proposition w14 is not true. Proposition bad is true if proposition w21 is true and proposition w9 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w4 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v18 is true and proposition w13 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w16 is true and proposition v14 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w3 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w15 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition v5 is true and proposition w17 is true and proposition bad is not true. Proposition w15 is true if proposition v15 is not true. Proposition bad is true if proposition v5 is true and proposition v15 is true and proposition v18 is true and proposition bad is not true. Proposition v15 is true if proposition w15 is not true. Proposition w12 is true if proposition v12 is not true. Proposition s0 is true. Proposition w5 is true if proposition v5 is not true. Proposition bad is true if proposition v21 is true and proposition w5 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition v13 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition v14 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition v9 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition v16 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w8 is true and proposition v0 is true and proposition v15 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition v2 is true and proposition v4 is true and proposition bad is not true. Proposition v5 is true if proposition w5 is not true. Proposition w16 is true if proposition v16 is not true. Proposition v10 is true if proposition w10 is not true. Proposition t0 is true if proposition t1 is true. Proposition bad is true if proposition v12 is true and proposition w20 is true and proposition v16 is true and proposition bad is not true. Proposition w13 is true if proposition v13 is not true. Proposition v13 is true if proposition w13 is not true.

Question: Is proposition q true?

Choose exactly one:
  A. Definitely yes
  B. Definitely no
  C. Cannot be determined

Think step by step, then end with a line 'ANSWER: X' where X is A, B, or C.


Prompt:
Use STABLE-MODEL, also called ANSWER-SET, semantics with CREDULOUS, also called BRAVE, reasoning. An answer set is a self-consistent set of atoms that is closed under the program rules and contains exactly the atoms justified by those rules under the assumptions made in that same set. Equivalently, after evaluating each default-negated condition not A relative to a candidate set, the candidate must be exactly the minimal set of atoms derivable from the remaining rules. For the queried statement: Answer 'Definitely yes' if the statement holds in AT LEAST ONE answer set. Answer 'Definitely no' if the statement holds in no answer sets. If the program has no answer sets, answer 'Definitely no.'

Rules:
Proposition v19 is true if proposition w19 is not true. Proposition bad is true if proposition v6 is true and proposition w10 is true and proposition v16 is true and proposition bad is not true. Proposition w10 is true if proposition v10 is not true. Proposition v7 is true if proposition w7 is not true. Proposition w19 is true if proposition v19 is not true. Proposition bad is true if proposition w6 is true and proposition w8 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w17 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition v5 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v7 is true and proposition v19 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition v17 is true and proposition w2 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w4 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v14 is true and proposition v13 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w1 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w8 is true and proposition v0 is true and proposition bad is not true. Proposition t2 is true if proposition t3 is true. Proposition bad is true if proposition w16 is true and proposition v0 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v2 is true and proposition v21 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition w13 is true and proposition w5 is true and proposition bad is not true. Proposition w6 is true if proposition v6 is not true. Proposition bad is true if proposition w0 is true and proposition w17 is true and proposition v7 is true and proposition bad is not true. Proposition v8 is true if proposition w8 is not true. Proposition bad is true if proposition w9 is true and proposition w10 is true and proposition w14 is true and proposition bad is not true. Proposition s2 is true. Proposition w21 is true if proposition v21 is not true. Proposition bad is true if proposition v4 is true and proposition v17 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition w9 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition w13 is true and proposition w6 is true and proposition v7 is true and proposition bad is not true. Proposition v12 is true if proposition w12 is not true. Proposition w3 is true if proposition v3 is not true. Proposition bad is true if proposition v8 is true and proposition w3 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w17 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w11 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition v17 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v3 is true and proposition w6 is true and proposition w4 is true and proposition bad is not true. Proposition s1 is true. Proposition v0 is true if proposition w0 is not true. Proposition v9 is true if proposition w9 is not true. Proposition bad is true if proposition w7 is true and proposition w17 is true and proposition v3 is true and proposition bad is not true. Proposition q is true if proposition t0 is true and proposition wide is true. Proposition bad is true if proposition w13 is true and proposition w3 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w12 is true and proposition w8 is true and proposition bad is not true. Proposition s3 is true. Proposition w18 is true if proposition v18 is not true. Proposition bad is true if proposition w10 is true and proposition v19 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w18 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w20 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition v6 is true and proposition v2 is true and proposition bad is not true. Proposition t1 is true if proposition t2 is true. Proposition v16 is true if proposition w16 is not true. Proposition bad is true if proposition w7 is true and proposition v11 is true and proposition v12 is true and proposition bad is not true. Proposition v11 is true if proposition w11 is not true. Proposition w0 is true if proposition v0 is not true. Proposition bad is true if proposition v9 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w17 is true and proposition w7 is true and proposition bad is not true. Proposition w4 is true if proposition v4 is not true. Proposition bad is true if proposition v10 is true and proposition w21 is true and proposition w18 is true and proposition bad is not true. Proposition v2 is true if proposition w2 is not true. Proposition bad is true if proposition v17 is true and proposition w4 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition w6 is true and proposition v1 is true and proposition v12 is true and proposition bad is not true. Proposition w2 is true if proposition v2 is not true. Proposition v20 is true if proposition w20 is not true. Proposition bad is true if proposition w0 is true and proposition v11 is true and proposition w3 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v8 is true and proposition v12 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v19 is true and proposition w12 is true and proposition bad is not true. Proposition v6 is true if proposition w6 is not true. Proposition w7 is true if proposition v7 is not true. Proposition w1 is true if proposition v1 is not true. Proposition bad is true if proposition v21 is true and proposition v6 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition w0 is true and proposition w2 is true and proposition bad is not true. Proposition w20 is true if proposition v20 is not true. Proposition bad is true if proposition w9 is true and proposition w3 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition v10 is true and proposition w12 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v1 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w7 is true and proposition v2 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition w18 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w3 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v19 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w12 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition v10 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v7 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w8 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v20 is true and proposition w13 is true and proposition bad is not true. Proposition w17 is true if proposition v17 is not true. Proposition bad is true if proposition v11 is true and proposition w7 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w13 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w4 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition w5 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition w14 is true and proposition v7 is true and proposition bad is not true. Proposition v21 is true if proposition w21 is not true. Proposition v3 is true if proposition w3 is not true. Proposition bad is true if proposition v5 is true and proposition w2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition v18 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w0 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v4 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v12 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition v14 is true and proposition w18 is true and proposition bad is not true. Proposition t3 is true if proposition t4 is true. Proposition t5 is true if proposition w7 is true. Proposition t4 is true if proposition t5 is true. Proposition bad is true if proposition w8 is true and proposition v15 is true and proposition w2 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v2 is true and proposition v15 is true and proposition bad is not true. Proposition wide is true if proposition s0 is true and proposition s1 is true and proposition s2 is true and proposition s3 is true. Proposition w14 is true if proposition v14 is not true. Proposition bad is true if proposition w16 is true and proposition w5 is true and proposition w15 is true and proposition bad is not true. Proposition w9 is true if proposition v9 is not true. Proposition v1 is true if proposition w1 is not true. Proposition v17 is true if proposition w17 is not true. Proposition v4 is true if proposition w4 is not true. Proposition w11 is true if proposition v11 is not true. Proposition bad is true if proposition w2 is true and proposition v13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition v10 is true and proposition w1 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w5 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition w14 is true and proposition w11 is true and proposition bad is not true. Proposition v18 is true if proposition w18 is not true. Proposition bad is true if proposition w4 is true and proposition v21 is true and proposition w9 is true and proposition bad is not true. Proposition w8 is true if proposition v8 is not true. Proposition bad is true if proposition v7 is true and proposition v20 is true and proposition v5 is true and proposition bad is not true. Proposition v14 is true if proposition w14 is not true. Proposition bad is true if proposition w21 is true and proposition w9 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w4 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v18 is true and proposition w13 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w16 is true and proposition v14 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w3 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w15 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition v5 is true and proposition w17 is true and proposition bad is not true. Proposition w15 is true if proposition v15 is not true. Proposition bad is true if proposition v5 is true and proposition v15 is true and proposition v18 is true and proposition bad is not true. Proposition v15 is true if proposition w15 is not true. Proposition w12 is true if proposition v12 is not true. Proposition s0 is true. Proposition w5 is true if proposition v5 is not true. Proposition bad is true if proposition v21 is true and proposition w5 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition v13 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition v14 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition v9 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition v16 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w8 is true and proposition v0 is true and proposition v15 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition v2 is true and proposition v4 is true and proposition bad is not true. Proposition v5 is true if proposition w5 is not true. Proposition w16 is true if proposition v16 is not true. Proposition v10 is true if proposition w10 is not true. Proposition t0 is true if proposition t1 is true. Proposition bad is true if proposition v12 is true and proposition w20 is true and proposition v16 is true and proposition bad is not true. Proposition w13 is true if proposition v13 is not true. Proposition v13 is true if proposition w13 is not true.

Question: Is proposition q true?

Choose exactly one:
  A. Definitely yes
  B. Definitely no
  C. Cannot be determined

Think step by step, then end with a line 'ANSWER: X' where X is A, B, or C.


Prompt:
Use STABLE-MODEL, also called ANSWER-SET, semantics with SKEPTICAL, also called CAUTIOUS, reasoning. Consider all answer sets of the program. Each answer set is a self-consistent scenario that is closed under the rules and contains exactly the atoms justified by those rules under its own assumptions about default negation. Equivalently, after evaluating each default-negated condition not A relative to a candidate set, the candidate must be exactly the minimal set of atoms derivable from the remaining rules. For the queried statement: Answer 'Definitely yes' only if the statement holds in EVERY answer set. Answer 'Definitely no' if there is at least one answer set in which the statement does not hold. If the program has no answer sets, then the statement vacuously holds in every answer set; answer 'Definitely yes.'

Rules:
Proposition v19 is true if proposition w19 is not true. Proposition bad is true if proposition v6 is true and proposition w10 is true and proposition v16 is true and proposition bad is not true. Proposition w10 is true if proposition v10 is not true. Proposition v7 is true if proposition w7 is not true. Proposition w19 is true if proposition v19 is not true. Proposition bad is true if proposition w6 is true and proposition w8 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w17 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition v5 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v7 is true and proposition v19 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition v17 is true and proposition w2 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w4 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v14 is true and proposition v13 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w1 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w8 is true and proposition v0 is true and proposition bad is not true. Proposition t2 is true if proposition t3 is true. Proposition bad is true if proposition w16 is true and proposition v0 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v2 is true and proposition v21 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition w13 is true and proposition w5 is true and proposition bad is not true. Proposition w6 is true if proposition v6 is not true. Proposition bad is true if proposition w0 is true and proposition w17 is true and proposition v7 is true and proposition bad is not true. Proposition v8 is true if proposition w8 is not true. Proposition bad is true if proposition w9 is true and proposition w10 is true and proposition w14 is true and proposition bad is not true. Proposition s2 is true. Proposition w21 is true if proposition v21 is not true. Proposition bad is true if proposition v4 is true and proposition v17 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition w9 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition w13 is true and proposition w6 is true and proposition v7 is true and proposition bad is not true. Proposition v12 is true if proposition w12 is not true. Proposition w3 is true if proposition v3 is not true. Proposition bad is true if proposition v8 is true and proposition w3 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w17 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w11 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition v17 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v3 is true and proposition w6 is true and proposition w4 is true and proposition bad is not true. Proposition s1 is true. Proposition v0 is true if proposition w0 is not true. Proposition v9 is true if proposition w9 is not true. Proposition bad is true if proposition w7 is true and proposition w17 is true and proposition v3 is true and proposition bad is not true. Proposition q is true if proposition t0 is true and proposition wide is true. Proposition bad is true if proposition w13 is true and proposition w3 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w12 is true and proposition w8 is true and proposition bad is not true. Proposition s3 is true. Proposition w18 is true if proposition v18 is not true. Proposition bad is true if proposition w10 is true and proposition v19 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w18 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w20 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition v6 is true and proposition v2 is true and proposition bad is not true. Proposition t1 is true if proposition t2 is true. Proposition v16 is true if proposition w16 is not true. Proposition bad is true if proposition w7 is true and proposition v11 is true and proposition v12 is true and proposition bad is not true. Proposition v11 is true if proposition w11 is not true. Proposition w0 is true if proposition v0 is not true. Proposition bad is true if proposition v9 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w17 is true and proposition w7 is true and proposition bad is not true. Proposition w4 is true if proposition v4 is not true. Proposition bad is true if proposition v10 is true and proposition w21 is true and proposition w18 is true and proposition bad is not true. Proposition v2 is true if proposition w2 is not true. Proposition bad is true if proposition v17 is true and proposition w4 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition w6 is true and proposition v1 is true and proposition v12 is true and proposition bad is not true. Proposition w2 is true if proposition v2 is not true. Proposition v20 is true if proposition w20 is not true. Proposition bad is true if proposition w0 is true and proposition v11 is true and proposition w3 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v8 is true and proposition v12 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v19 is true and proposition w12 is true and proposition bad is not true. Proposition v6 is true if proposition w6 is not true. Proposition w7 is true if proposition v7 is not true. Proposition w1 is true if proposition v1 is not true. Proposition bad is true if proposition v21 is true and proposition v6 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition w0 is true and proposition w2 is true and proposition bad is not true. Proposition w20 is true if proposition v20 is not true. Proposition bad is true if proposition w9 is true and proposition w3 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition v10 is true and proposition w12 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v1 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w7 is true and proposition v2 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition w18 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w3 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v19 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w12 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition v10 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v7 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w8 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v20 is true and proposition w13 is true and proposition bad is not true. Proposition w17 is true if proposition v17 is not true. Proposition bad is true if proposition v11 is true and proposition w7 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w13 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w4 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition w5 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition w14 is true and proposition v7 is true and proposition bad is not true. Proposition v21 is true if proposition w21 is not true. Proposition v3 is true if proposition w3 is not true. Proposition bad is true if proposition v5 is true and proposition w2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition v18 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w0 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v4 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v12 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition v14 is true and proposition w18 is true and proposition bad is not true. Proposition t3 is true if proposition t4 is true. Proposition t5 is true if proposition w7 is true. Proposition t4 is true if proposition t5 is true. Proposition bad is true if proposition w8 is true and proposition v15 is true and proposition w2 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v2 is true and proposition v15 is true and proposition bad is not true. Proposition wide is true if proposition s0 is true and proposition s1 is true and proposition s2 is true and proposition s3 is true. Proposition w14 is true if proposition v14 is not true. Proposition bad is true if proposition w16 is true and proposition w5 is true and proposition w15 is true and proposition bad is not true. Proposition w9 is true if proposition v9 is not true. Proposition v1 is true if proposition w1 is not true. Proposition v17 is true if proposition w17 is not true. Proposition v4 is true if proposition w4 is not true. Proposition w11 is true if proposition v11 is not true. Proposition bad is true if proposition w2 is true and proposition v13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition v10 is true and proposition w1 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w5 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition w14 is true and proposition w11 is true and proposition bad is not true. Proposition v18 is true if proposition w18 is not true. Proposition bad is true if proposition w4 is true and proposition v21 is true and proposition w9 is true and proposition bad is not true. Proposition w8 is true if proposition v8 is not true. Proposition bad is true if proposition v7 is true and proposition v20 is true and proposition v5 is true and proposition bad is not true. Proposition v14 is true if proposition w14 is not true. Proposition bad is true if proposition w21 is true and proposition w9 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w4 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v18 is true and proposition w13 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w16 is true and proposition v14 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w3 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w15 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition v5 is true and proposition w17 is true and proposition bad is not true. Proposition w15 is true if proposition v15 is not true. Proposition bad is true if proposition v5 is true and proposition v15 is true and proposition v18 is true and proposition bad is not true. Proposition v15 is true if proposition w15 is not true. Proposition w12 is true if proposition v12 is not true. Proposition s0 is true. Proposition w5 is true if proposition v5 is not true. Proposition bad is true if proposition v21 is true and proposition w5 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition v13 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition v14 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition v9 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition v16 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w8 is true and proposition v0 is true and proposition v15 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition v2 is true and proposition v4 is true and proposition bad is not true. Proposition v5 is true if proposition w5 is not true. Proposition w16 is true if proposition v16 is not true. Proposition v10 is true if proposition w10 is not true. Proposition t0 is true if proposition t1 is true. Proposition bad is true if proposition v12 is true and proposition w20 is true and proposition v16 is true and proposition bad is not true. Proposition w13 is true if proposition v13 is not true. Proposition v13 is true if proposition w13 is not true.

Question: Is proposition q true?

Choose exactly one:
  A. Definitely yes
  B. Definitely no
  C. Cannot be determined

Think step by step, then end with a line 'ANSWER: X' where X is A, B, or C.


Prompt:
Use WELL-FOUNDED semantics, with three truth values: 'true', 'false', and 'undefined'. A statement is 'true' if it has founded support: that is, it follows from rules whose positive conditions are 'true' and whose default-negated conditions are 'false', with the justification ultimately grounded rather than relying only on unsupported circular reasoning. A statement is 'false' if all possible rules that could derive it are defeated, inapplicable, or depend only on unfounded circular support. A statement is 'undefined' if it is neither founded true nor founded false, typically because its truth depends on an unresolved cycle through default negation or on other undefined statements. Answer 'Definitely yes' if the statement is 'true'. Answer 'Definitely no' if the statement is 'false'. Answer 'Cannot be determined' if the statement is 'undefined'. For a default-negated query not G, evaluate it using the well-founded truth value of G: not G is 'true' when G is 'false', 'false' when G is 'true', and 'undefined' when G is 'undefined'.

Rules:
Proposition v19 is true if proposition w19 is not true. Proposition bad is true if proposition v6 is true and proposition w10 is true and proposition v16 is true and proposition bad is not true. Proposition w10 is true if proposition v10 is not true. Proposition v7 is true if proposition w7 is not true. Proposition w19 is true if proposition v19 is not true. Proposition bad is true if proposition w6 is true and proposition w8 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w17 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition v5 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v7 is true and proposition v19 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition v17 is true and proposition w2 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w4 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v14 is true and proposition v13 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w1 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w8 is true and proposition v0 is true and proposition bad is not true. Proposition t2 is true if proposition t3 is true. Proposition bad is true if proposition w16 is true and proposition v0 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v2 is true and proposition v21 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition w13 is true and proposition w5 is true and proposition bad is not true. Proposition w6 is true if proposition v6 is not true. Proposition bad is true if proposition w0 is true and proposition w17 is true and proposition v7 is true and proposition bad is not true. Proposition v8 is true if proposition w8 is not true. Proposition bad is true if proposition w9 is true and proposition w10 is true and proposition w14 is true and proposition bad is not true. Proposition s2 is true. Proposition w21 is true if proposition v21 is not true. Proposition bad is true if proposition v4 is true and proposition v17 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition w9 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition w13 is true and proposition w6 is true and proposition v7 is true and proposition bad is not true. Proposition v12 is true if proposition w12 is not true. Proposition w3 is true if proposition v3 is not true. Proposition bad is true if proposition v8 is true and proposition w3 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w17 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w11 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition v17 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v3 is true and proposition w6 is true and proposition w4 is true and proposition bad is not true. Proposition s1 is true. Proposition v0 is true if proposition w0 is not true. Proposition v9 is true if proposition w9 is not true. Proposition bad is true if proposition w7 is true and proposition w17 is true and proposition v3 is true and proposition bad is not true. Proposition q is true if proposition t0 is true and proposition wide is true. Proposition bad is true if proposition w13 is true and proposition w3 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition w12 is true and proposition w8 is true and proposition bad is not true. Proposition s3 is true. Proposition w18 is true if proposition v18 is not true. Proposition bad is true if proposition w10 is true and proposition v19 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition w15 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w18 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w20 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition v6 is true and proposition v2 is true and proposition bad is not true. Proposition t1 is true if proposition t2 is true. Proposition v16 is true if proposition w16 is not true. Proposition bad is true if proposition w7 is true and proposition v11 is true and proposition v12 is true and proposition bad is not true. Proposition v11 is true if proposition w11 is not true. Proposition w0 is true if proposition v0 is not true. Proposition bad is true if proposition v9 is true and proposition v19 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w17 is true and proposition w7 is true and proposition bad is not true. Proposition w4 is true if proposition v4 is not true. Proposition bad is true if proposition v10 is true and proposition w21 is true and proposition w18 is true and proposition bad is not true. Proposition v2 is true if proposition w2 is not true. Proposition bad is true if proposition v17 is true and proposition w4 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition w6 is true and proposition v1 is true and proposition v12 is true and proposition bad is not true. Proposition w2 is true if proposition v2 is not true. Proposition v20 is true if proposition w20 is not true. Proposition bad is true if proposition w0 is true and proposition v11 is true and proposition w3 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v8 is true and proposition v12 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v19 is true and proposition w12 is true and proposition bad is not true. Proposition v6 is true if proposition w6 is not true. Proposition w7 is true if proposition v7 is not true. Proposition w1 is true if proposition v1 is not true. Proposition bad is true if proposition v21 is true and proposition v6 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition w0 is true and proposition w2 is true and proposition bad is not true. Proposition w20 is true if proposition v20 is not true. Proposition bad is true if proposition w9 is true and proposition w3 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition v10 is true and proposition w12 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v1 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w7 is true and proposition v2 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition w18 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w3 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v19 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w12 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition w4 is true and proposition v10 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v7 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w8 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v20 is true and proposition w13 is true and proposition bad is not true. Proposition w17 is true if proposition v17 is not true. Proposition bad is true if proposition v11 is true and proposition w7 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w13 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w4 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition w5 is true and proposition v20 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition w14 is true and proposition v7 is true and proposition bad is not true. Proposition v21 is true if proposition w21 is not true. Proposition v3 is true if proposition w3 is not true. Proposition bad is true if proposition v5 is true and proposition w2 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition v18 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w0 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v4 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition v12 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition v14 is true and proposition w18 is true and proposition bad is not true. Proposition t3 is true if proposition t4 is true. Proposition t5 is true if proposition w7 is true. Proposition t4 is true if proposition t5 is true. Proposition bad is true if proposition w8 is true and proposition v15 is true and proposition w2 is true and proposition bad is not true. Proposition bad is true if proposition w1 is true and proposition v2 is true and proposition v15 is true and proposition bad is not true. Proposition wide is true if proposition s0 is true and proposition s1 is true and proposition s2 is true and proposition s3 is true. Proposition w14 is true if proposition v14 is not true. Proposition bad is true if proposition w16 is true and proposition w5 is true and proposition w15 is true and proposition bad is not true. Proposition w9 is true if proposition v9 is not true. Proposition v1 is true if proposition w1 is not true. Proposition v17 is true if proposition w17 is not true. Proposition v4 is true if proposition w4 is not true. Proposition w11 is true if proposition v11 is not true. Proposition bad is true if proposition w2 is true and proposition v13 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition v10 is true and proposition w1 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w5 is true and proposition v4 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition w14 is true and proposition w11 is true and proposition bad is not true. Proposition v18 is true if proposition w18 is not true. Proposition bad is true if proposition w4 is true and proposition v21 is true and proposition w9 is true and proposition bad is not true. Proposition w8 is true if proposition v8 is not true. Proposition bad is true if proposition v7 is true and proposition v20 is true and proposition v5 is true and proposition bad is not true. Proposition v14 is true if proposition w14 is not true. Proposition bad is true if proposition w21 is true and proposition w9 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition w4 is true and proposition w5 is true and proposition bad is not true. Proposition bad is true if proposition v18 is true and proposition w13 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition w16 is true and proposition v14 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition w3 is true and proposition w6 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w15 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition v5 is true and proposition w17 is true and proposition bad is not true. Proposition w15 is true if proposition v15 is not true. Proposition bad is true if proposition v5 is true and proposition v15 is true and proposition v18 is true and proposition bad is not true. Proposition v15 is true if proposition w15 is not true. Proposition w12 is true if proposition v12 is not true. Proposition s0 is true. Proposition w5 is true if proposition v5 is not true. Proposition bad is true if proposition v21 is true and proposition w5 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition w17 is true and proposition v13 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w9 is true and proposition v14 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition v9 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition v16 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition w8 is true and proposition v0 is true and proposition v15 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition v2 is true and proposition v4 is true and proposition bad is not true. Proposition v5 is true if proposition w5 is not true. Proposition w16 is true if proposition v16 is not true. Proposition v10 is true if proposition w10 is not true. Proposition t0 is true if proposition t1 is true. Proposition bad is true if proposition v12 is true and proposition w20 is true and proposition v16 is true and proposition bad is not true. Proposition w13 is true if proposition v13 is not true. Proposition v13 is true if proposition w13 is not true.

Question: Is proposition q true?

Choose exactly one:
  A. Definitely yes
  B. Definitely no
  C. Cannot be determined

Think step by step, then end with a line 'ANSWER: X' where X is A, B, or C.


Prompt:
Answer using ordinary commonsense reasoning about the rules below.

Rules:
Proposition bad is true if proposition w16 is true and proposition v10 is true and proposition w17 is true and proposition bad is not true. Proposition w1 is true if proposition v1 is not true. Proposition bad is true if proposition w15 is true and proposition v9 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w11 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w5 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition w2 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w15 is true and proposition w7 is true and proposition bad is not true. Proposition v17 is true if proposition w17 is not true. Proposition bad is true if proposition v20 is true and proposition v14 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition v20 is true and proposition w21 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition v19 is true and proposition w20 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition w3 is true and proposition v8 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v19 is true and proposition w5 is true and proposition bad is not true. Proposition v0 is true if proposition w0 is not true. Proposition bad is true if proposition w15 is true and proposition w5 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition w11 is true and proposition v18 is true and proposition v8 is true and proposition bad is not true. Proposition v13 is true if proposition w13 is not true. Proposition bad is true if proposition w13 is true and proposition w12 is true and proposition v7 is true and proposition bad is not true. Proposition w2 is true if proposition v2 is not true. Proposition bad is true if proposition v5 is true and proposition v6 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition w20 is true and proposition v10 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition v12 is true and proposition v17 is true and proposition bad is not true. Proposition w4 is true if proposition v4 is not true. Proposition bad is true if proposition v19 is true and proposition w18 is true and proposition v21 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition v9 is true and proposition w12 is true and proposition bad is not true. Proposition w20 is true if proposition v20 is not true. Proposition bad is true if proposition v6 is true and proposition w9 is true and proposition v11 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition w6 is true and proposition w13 is true and proposition bad is not true. Proposition w7 is true if proposition v7 is not true. Proposition bad is true if proposition v2 is true and proposition v16 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition v19 is true and proposition v12 is true and proposition bad is not true. Proposition w19 is true if proposition v19 is not true. Proposition v21 is true if proposition w21 is not true. Proposition w17 is true if proposition v17 is not true. Proposition w12 is true if proposition v12 is not true. Proposition bad is true if proposition v2 is true and proposition v14 is true and proposition w0 is true and proposition bad is not true. Proposition bad is true if proposition v5 is true and proposition w11 is true and proposition v19 is true and proposition bad is not true. Proposition bad is true if proposition v15 is true and proposition v21 is true and proposition v7 is true and proposition bad is not true. Proposition v3 is true if proposition w3 is not true. Proposition v10 is true if proposition w10 is not true. Proposition bad is true if proposition v18 is true and proposition w10 is true and proposition v4 is true and proposition bad is not true. Proposition s0 is true. Proposition bad is true if proposition w20 is true and proposition v8 is true and proposition v14 is true and proposition bad is not true. Proposition v16 is true if proposition w16 is not true. Proposition bad is true if proposition w4 is true and proposition w18 is true and proposition w13 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition v20 is true and proposition w2 is true and proposition bad is not true. Proposition w6 is true if proposition v6 is not true. Proposition v5 is true if proposition w5 is not true. Proposition bad is true if proposition v12 is true and proposition w19 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition v20 is true and proposition v11 is true and proposition bad is not true. Proposition w18 is true if proposition v18 is not true. Proposition bad is true if proposition v21 is true and proposition w1 is true and proposition v17 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition v18 is true and proposition v16 is true and proposition bad is not true. Proposition v11 is true if proposition w11 is not true. Proposition bad is true if proposition w17 is true and proposition w9 is true and proposition v21 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition v21 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition w19 is true and proposition w6 is true and proposition v13 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition v20 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition v9 is true and proposition w21 is true and proposition v16 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition w12 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition v0 is true and proposition w4 is true and proposition bad is not true. Proposition bad is true if proposition w15 is true and proposition v2 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v6 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w16 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w3 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v19 is true and proposition w11 is true and proposition v7 is true and proposition bad is not true. Proposition bad is true if proposition v20 is true and proposition v17 is true and proposition v8 is true and proposition bad is not true. Proposition bad is true if proposition v9 is true and proposition v12 is true and proposition v14 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition w10 is true and proposition v1 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition w2 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition v13 is true and proposition w16 is true and proposition v8 is true and proposition bad is not true. Proposition bad is true if proposition w21 is true and proposition v19 is true and proposition v4 is true and proposition bad is not true. Proposition q is true if proposition w21 is true and proposition wide is true and proposition etrue is true. Proposition bad is true if proposition w10 is true and proposition v7 is true and proposition w14 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w4 is true and proposition w17 is true and proposition bad is not true. Proposition w0 is true if proposition v0 is not true. Proposition bad is true if proposition v11 is true and proposition w12 is true and proposition w7 is true and proposition bad is not true. Proposition w16 is true if proposition v16 is not true. Proposition bad is true if proposition w13 is true and proposition w12 is true and proposition v11 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w0 is true and proposition w9 is true and proposition bad is not true. Proposition bad is true if proposition w6 is true and proposition w5 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w10 is true and proposition v7 is true and proposition v4 is true and proposition bad is not true. Proposition w10 is true if proposition v10 is not true. Proposition bad is true if proposition v12 is true and proposition v10 is true and proposition w4 is true and proposition bad is not true. Proposition w5 is true if proposition v5 is not true. Proposition v8 is true if proposition w8 is not true. Proposition v12 is true if proposition w12 is not true. Proposition v6 is true if proposition w6 is not true. Proposition v9 is true if proposition w9 is not true. Proposition v20 is true if proposition w20 is not true. Proposition bad is true if proposition v16 is true and proposition w6 is true and proposition w1 is true and proposition bad is not true. Proposition bad is true if proposition w2 is true and proposition v18 is true and proposition v6 is true and proposition bad is not true. Proposition bad is true if proposition w7 is true and proposition v17 is true and proposition w10 is true and proposition bad is not true. Proposition bad is true if proposition w18 is true and proposition v2 is true and proposition v10 is true and proposition bad is not true. Proposition bad is true if proposition w13 is true and proposition w2 is true and proposition v11 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w14 is true and proposition w8 is true and proposition bad is not true. Proposition bad is true if proposition w8 is true and proposition w5 is true and proposition w2 is true and proposition bad is not true. Proposition v2 is true if proposition w2 is not true. Proposition w14 is true if proposition v14 is not true. Proposition bad is true if proposition w2 is true and proposition v7 is true and proposition v5 is true and proposition bad is not true. Proposition v14 is true if proposition w14 is not true. Proposition bad is true if proposition v2 is true and proposition v5 is true and proposition w17 is true and proposition bad is not true. Proposition bad is true if proposition v1 is true and proposition v3 is true and proposition v5 is true and proposition bad is not true. Proposition v1 is true if proposition w1 is not true. Proposition w8 is true if proposition v8 is not true. Proposition bad is true if proposition w0 is true and proposition w13 is true and proposition v2 is true and proposition bad is not true. Proposition bad is true if proposition w20 is true and proposition v4 is true and proposition v18 is true and proposition bad is not true. Proposition w9 is true if proposition v9 is not true. Proposition etrue is true. Proposition bad is true if proposition v14 is true and proposition v0 is true and proposition w7 is true and proposition bad is not true. Proposition bad is true if proposition w14 is true and proposition v11 is true and proposition w10 is true and proposition bad is not true. Proposition w15 is true if proposition v15 is not true. Proposition v4 is true if proposition w4 is not true. Proposition bad is true if proposition v9 is true and proposition v6 is true and proposition w11 is true and proposition bad is not true. Proposition v18 is true if proposition w18 is not true. Proposition bad is true if proposition w9 is true and proposition v10 is true and proposition w6 is true and proposition bad is not true. Proposition v15 is true if proposition w15 is not true. Proposition bad is true if proposition w0 is true and proposition v19 is true and proposition v4 is true and proposition bad is not true. Proposition v19 is true if proposition w19 is not true. Proposition bad is true if proposition v5 is true and proposition w18 is true and proposition v0 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w17 is true and proposition v5 is true and proposition bad is not true. Proposition bad is true if proposition v4 is true and proposition w9 is true and proposition w1 is true and proposition bad is not true. Proposition w21 is true if proposition v21 is not true. Proposition bad is true if proposition v18 is true and proposition w1 is true and proposition v17 is true and proposition bad is not true. Proposition s1 is true. Proposition bad is true if proposition v13 is true and proposition v1 is true and proposition w11 is true and proposition bad is not true. Proposition bad is true if proposition v0 is true and proposition v8 is true and proposition w16 is true and proposition bad is not true. Proposition bad is true if proposition v12 is true and proposition w21 is true and proposition w1 is true and proposition bad is not true. Proposition wide is true if proposition s0 is true and proposition s1 is true. Proposition bad is true if proposition w7 is true and proposition w14 is true and proposition w18 is true and proposition bad is not true. Proposition bad is true if proposition v8 is true and proposition w21 is true and proposition w19 is true and proposition bad is not true. Proposition bad is true if proposition w5 is true and proposition w1 is true and proposition v18 is true and proposition bad is not true. Proposition w13 is true if proposition v13 is not true. Proposition bad is true if proposition w7 is true and proposition w6 is true and proposition w12 is true and proposition bad is not true. Proposition bad is true if proposition w20 is true and proposition v10 is true and proposition v8 is true and proposition bad is not true. Proposition bad is true if proposition v6 is true and proposition w7 is true and proposition v9 is true and proposition bad is not true. Proposition bad is true if proposition w16 is true and proposition w7 is true and proposition v9 is true and proposition bad is not true. Proposition w11 is true if proposition v11 is not true. Proposition bad is true if proposition w13 is true and proposition v4 is true and proposition w2 is true and proposition bad is not true. Proposition bad is true if proposition w3 is true and proposition v17 is true and proposition v11 is true and proposition bad is not true. Proposition bad is true if proposition w0 is true and proposition w12 is true and proposition w18 is true and proposition bad is not true. Proposition w3 is true if proposition v3 is not true. Proposition v7 is true if proposition w7 is not true.

Question: Is proposition q true?

Choose exactly one:
  A. Definitely yes
  B. Definitely no
  C. Cannot be determined

Think step by step, then end with a line 'ANSWER: X' where X is A, B, or C.