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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]

Gamma_1: (extend-no-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: [b_holds(key(generate_key(an_a_nonce),a))]

Gamma_2: (extend-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: [b_holds(key(generate_key(an_a_nonce),a))]
  2: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]

Gamma_3: (move)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [b_holds(key(generate_key(an_a_nonce),a))]

Gamma_4: (resolve)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [~(a_holds(key(generate_key(an_a_nonce),b)))]

Gamma_5: (extend-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [~(a_holds(key(generate_key(an_a_nonce),b)))]

Gamma_6: (move)
  0: [~(a_holds(key(generate_key(an_a_nonce),b)))]
  1: [a_holds(key(generate_key(an_a_nonce),b))]
  2: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]

Gamma_7: (resolve)
  0: [~(a_holds(key(generate_key(an_a_nonce),b)))]
  1: []

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]

Gamma_1: (extend-no-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: [b_holds(key(generate_key(an_a_nonce),a))]

Gamma_2: (extend-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: [b_holds(key(generate_key(an_a_nonce),a))]
  2: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]

Gamma_3: (move)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [b_holds(key(generate_key(an_a_nonce),a))]

Gamma_4: (resolve)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [~(a_holds(key(generate_key(an_a_nonce),b)))]

Gamma_5: (extend-conflict)
  0: [a_holds(key(generate_key(an_a_nonce),b))]
  1: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]
  2: [~(a_holds(key(generate_key(an_a_nonce),b)))]

Gamma_6: (move)
  0: [~(a_holds(key(generate_key(an_a_nonce),b)))]
  1: [a_holds(key(generate_key(an_a_nonce),b))]
  2: ~(a_holds(key(generate_key(an_a_nonce),b))), [~(b_holds(key(generate_key(an_a_nonce),a)))]

Gamma_7: (resolve)
  0: [~(a_holds(key(generate_key(an_a_nonce),b)))]
  1: []

SZS status Unsatisfiable