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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]

Gamma_1: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))

Gamma_2: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))

Gamma_3: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))
  3: [~(eq(a,c,b,c,a,d))]

Gamma_4: (move)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))

Gamma_5: (resolve)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [~(parallel(b,c,a,d))]

Gamma_6: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [~(parallel(b,c,a,d))]

Gamma_7: (move)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  3: [~(eq(a,c,b,c,a,d))]

Gamma_8: (resolve)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [~(trapezoid(a,b,c,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_9: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [~(trapezoid(a,b,c,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_10: (move)
  0: [~(trapezoid(a,b,c,d))]
  1: [trapezoid(a,b,c,d)]
  2: [~(parallel(b,c,a,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_11: (resolve)
  0: [~(trapezoid(a,b,c,d))]
  1: []
  2: [~(parallel(b,c,a,d))]
  3: [~(eq(a,c,b,c,a,d))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]

Gamma_1: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))

Gamma_2: (extend-no-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))

Gamma_3: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))
  3: [~(eq(a,c,b,c,a,d))]

Gamma_4: (move)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [eq(a,c,b,c,a,d)], ~(parallel(b,c,a,d))

Gamma_5: (resolve)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [~(parallel(b,c,a,d))]

Gamma_6: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  2: [~(eq(a,c,b,c,a,d))]
  3: [~(parallel(b,c,a,d))]

Gamma_7: (move)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [parallel(b,c,a,d)], ~(trapezoid(a,b,c,d))
  3: [~(eq(a,c,b,c,a,d))]

Gamma_8: (resolve)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [~(trapezoid(a,b,c,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_9: (extend-conflict)
  0: [trapezoid(a,b,c,d)]
  1: [~(parallel(b,c,a,d))]
  2: [~(trapezoid(a,b,c,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_10: (move)
  0: [~(trapezoid(a,b,c,d))]
  1: [trapezoid(a,b,c,d)]
  2: [~(parallel(b,c,a,d))]
  3: [~(eq(a,c,b,c,a,d))]

Gamma_11: (resolve)
  0: [~(trapezoid(a,b,c,d))]
  1: []
  2: [~(parallel(b,c,a,d))]
  3: [~(eq(a,c,b,c,a,d))]

SZS status Unsatisfiable