%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------%

------ Parsing...successful


------ Proving...
use I-

Gamma_0: (extend-no-conflict)
  0: [big_q(d)], big_p(c)

Gamma_1: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]

Gamma_2: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)

Gamma_3: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))

Gamma_4: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]

Gamma_5: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))

Gamma_6: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_7: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))

Gamma_8: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: [~(big_s(d))], ~(big_q(d)), ~(big_p(c))

Gamma_9: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]

Gamma_10: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: ~(big_s(d)), [big_p(c)]
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_11: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: [~(big_s(d))], ~(big_q(d))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_12: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: [~(big_s(d))], ~(big_q(d))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_13: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  5: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_14: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))

Gamma_15: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))

Gamma_16: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: [big_r(b)], ~(big_p(b)), big_p(c)
  4: [~(big_s(d))], ~(big_q(d))

Gamma_17: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), [~(big_p(b))], big_p(c)
  4: [~(big_s(d))], ~(big_q(d))

Gamma_18: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))

Gamma_19: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))
  5: [big_q(a)], ~(big_p(b))
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))
  5: [big_q(a)], ~(big_p(b))

SZS status Satisfiable

%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------%

------ Parsing...successful


------ Proving...
use I-

Gamma_0: (extend-no-conflict)
  0: [big_q(d)], big_p(c)

Gamma_1: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]

Gamma_2: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)

Gamma_3: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))

Gamma_4: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]

Gamma_5: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))

Gamma_6: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_7: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: ~(big_s(d)), [big_r(c)], ~(big_q(d)), ~(big_p(c))

Gamma_8: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: [~(big_s(d))], ~(big_q(d)), ~(big_p(c))

Gamma_9: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), [big_p(c)]
  5: ~(big_s(d)), [~(big_r(c))]
  6: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]

Gamma_10: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: ~(big_s(d)), [big_p(c)]
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_11: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: [~(big_s(d))], ~(big_q(d))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_12: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  4: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  5: [~(big_s(d))], ~(big_q(d))
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_13: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [big_s(d)], ~(big_r(b)), ~(big_q(d)), ~(big_p(b))
  5: ~(big_s(d)), ~(big_q(d)), [~(big_p(c))]
  6: ~(big_s(d)), [~(big_r(c))]

Gamma_14: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))

Gamma_15: (extend-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [big_r(b)], ~(big_p(b)), big_p(c)
  3: [~(big_s(d))], ~(big_q(d))
  4: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))

Gamma_16: (move)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: [big_r(b)], ~(big_p(b)), big_p(c)
  4: [~(big_s(d))], ~(big_q(d))

Gamma_17: (resolve)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), [~(big_p(b))], big_p(c)
  4: [~(big_s(d))], ~(big_q(d))

Gamma_18: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))

Gamma_19: (extend-no-conflict)
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))
  5: [big_q(a)], ~(big_p(b))
  0: [big_q(d)], big_p(c)
  1: ~(big_q(d)), [big_p(b)]
  2: [~(big_r(b))], ~(big_q(d)), ~(big_p(b))
  3: ~(big_q(d)), ~(big_p(b)), [big_p(c)]
  4: [~(big_s(d))], ~(big_q(d))
  5: [big_q(a)], ~(big_p(b))

SZS status Satisfiable