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

------ Parsing...successful


------ Proving...
flip all literals with predicate element_of_set
use I+

Gamma_0: (extend-no-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]

Gamma_1: (extend-no-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]

Gamma_2: (extend-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]
  2: [element_of_set(f11(f,empty_set),empty_set)]

Gamma_3: (move)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]

Gamma_4: (resolve)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: [element_of_collection(empty_set,top_of_basis(f))]

Gamma_5: (extend-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: [element_of_collection(empty_set,top_of_basis(f))]

Gamma_6: (move)
  0: [element_of_collection(empty_set,top_of_basis(f))]
  1: [~(element_of_collection(empty_set,top_of_basis(f)))]
  2: [element_of_set(f11(f,empty_set),empty_set)]

Gamma_7: (resolve)
  0: [element_of_collection(empty_set,top_of_basis(f))]
  1: []
  2: [element_of_set(f11(f,empty_set),empty_set)]

SZS status Unsatisfiable

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

------ Parsing...successful


------ Proving...
flip all literals with predicate element_of_set
use I+

Gamma_0: (extend-no-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]

Gamma_1: (extend-no-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]

Gamma_2: (extend-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]
  2: [element_of_set(f11(f,empty_set),empty_set)]

Gamma_3: (move)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: element_of_collection(empty_set,top_of_basis(f)), [~(element_of_set(f11(f,empty_set),empty_set))]

Gamma_4: (resolve)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: [element_of_collection(empty_set,top_of_basis(f))]

Gamma_5: (extend-conflict)
  0: [~(element_of_collection(empty_set,top_of_basis(f)))]
  1: [element_of_set(f11(f,empty_set),empty_set)]
  2: [element_of_collection(empty_set,top_of_basis(f))]

Gamma_6: (move)
  0: [element_of_collection(empty_set,top_of_basis(f))]
  1: [~(element_of_collection(empty_set,top_of_basis(f)))]
  2: [element_of_set(f11(f,empty_set),empty_set)]

Gamma_7: (resolve)
  0: [element_of_collection(empty_set,top_of_basis(f))]
  1: []
  2: [element_of_set(f11(f,empty_set),empty_set)]

SZS status Unsatisfiable