%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [m0(X0,d,X1)] Gamma_1: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) Gamma_2: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) Gamma_3: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) Gamma_4: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: [p2(X0,X0,X0)], ~(p2(e,e,e)), ~(q1(e,e,e)) Gamma_5: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) Gamma_6: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) Gamma_7: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) Gamma_8: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) Gamma_9: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) Gamma_10: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) Gamma_11: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~(p2(X0,X0,X0)) Gamma_12: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) Gamma_13: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) Gamma_14: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: [p4(X0,X0,X0)], ~(p4(e,e,e)), ~(r3(X0,X0,X0)) Gamma_15: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) Gamma_16: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] Gamma_17: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: ~(p2(X0,X0,X0)), [k3(X0,X0,X0)] Gamma_18: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] Gamma_19: (extend-no-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [q1(X0,X0,X0)], ~(m0(X0,d,X0)) Gamma_20: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: top(X0) != e | [q1(X0,X0,X0)], ~(m0(X0,d,X0)) Gamma_21: (extend-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: top(X0) != e | [q1(X0,X0,X0)], ~(m0(X0,d,X0)) 15: [~(q1(b,b,b))] Gamma_22: (move) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [~(q1(b,b,b))] 15: top(X0) != e | [q1(X0,X0,X0)], ~(m0(X0,d,X0)) Gamma_23: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [~(q1(b,b,b))] 15: top(X0) != b & top(X0) != b | [q1(b,b,b)], ~(m0(b,d,b)) 16: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_24: (right-split) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [~(q1(b,b,b))] 15: [q1(b,b,b)], ~(m0(b,d,b)) 16: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_25: (resolve) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [~(q1(b,b,b))] 15: [~(m0(b,d,b))] 16: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_26: (extend-conflict) 0: [m0(X0,d,X1)] 1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 2: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 3: [p2(e,e,e)], ~(q1(e,e,e)) 4: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 5: [r3(e,e,e)], ~(p2(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 7: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 9: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~(m3(X0,X0,X0)), ~( p2(X0,X0,X0)) 10: [p4(e,e,e)], ~(p3(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 12: ~(p2(e,e,e)), [k3(e,e,e)] 13: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 14: [~(q1(b,b,b))] 15: [~(m0(b,d,b))] 16: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_27: (move) 0: [~(m0(b,d,b))] 1: [m0(X0,d,X1)] 2: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 3: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 4: [p2(e,e,e)], ~(q1(e,e,e)) 5: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 6: [r3(e,e,e)], ~(p2(e,e,e)) 7: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 8: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 9: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 10: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~( m3(X0,X0,X0)), ~(p2(X0,X0,X0)) 11: [p4(e,e,e)], ~(p3(e,e,e)) 12: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 13: ~(p2(e,e,e)), [k3(e,e,e)] 14: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 15: [~(q1(b,b,b))] 16: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_28: (right-split) 0: [~(m0(b,d,b))] 1: [m0(b,d,b)] 2: top(X0) != b | [m0(X0,d,b)] 3: top(X1) != b | [m0(b,d,X0)] 4: top(X1) != b & top(X0) != b | [m0(X0,d,X1)] 5: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 6: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 7: [p2(e,e,e)], ~(q1(e,e,e)) 8: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 9: [r3(e,e,e)], ~(p2(e,e,e)) 10: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~( p2(X0,X0,X0)) 11: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 12: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 13: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~( m3(X0,X0,X0)), ~(p2(X0,X0,X0)) 14: [p4(e,e,e)], ~(p3(e,e,e)) 15: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 16: ~(p2(e,e,e)), [k3(e,e,e)] 17: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 18: [~(q1(b,b,b))] 19: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_29: (right-split) 0: [~(m0(b,d,b))] 1: [m0(b,d,b)] 2: top(X0) != b | [m0(X0,d,b)] 3: top(X1) != b | [m0(b,d,X0)] 4: top(X1) != b & top(X0) != b | [m0(X0,d,X1)] 5: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d)) 6: [q1(e,X0,X0)], ~(m0(X0,d,X0)), ~(m0(e,d,X0)) 7: [p2(e,e,e)], ~(q1(e,e,e)) 8: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 9: [r3(e,e,e)], ~(p2(e,e,e)) 10: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~( p2(X0,X0,X0)) 11: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 12: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 13: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~( m3(X0,X0,X0)), ~(p2(X0,X0,X0)) 14: [p4(e,e,e)], ~(p3(e,e,e)) 15: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 16: ~(p2(e,e,e)), [k3(e,e,e)] 17: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 18: [~(q1(b,b,b))] 19: top(X0) != b & top(X0) != b & top(X0) != b | [q1(X0,X0,X0)], ~( m0(X0,d,X0)) Gamma_30: (resolve) 0: [~(m0(b,d,b))] 1: [] 2: top(X0) != b | [m0(X0,d,b)] 3: top(X1) != b | [m0(b,d,X0)] 4: top(X1) != b & top(X0) != b | [m0(X0,d,X1)] 5: [p2(e,e,e)], ~(q1(e,e,e)) 6: top(X0) != e & top(X0) != e & top(X0) != e | [p2(X0,X0,X0)], ~(p2(e,e,e)), ~( q1(e,e,e)) 7: [r3(e,e,e)], ~(p2(e,e,e)) 8: top(X0) != e & top(X0) != e & top(X0) != e | [r3(X0,X0,X0)], ~(p2(X0,X0,X0)) 9: [m3(X0,X0,X0)], ~(p2(X0,X0,X0)) 10: [p3(e,e,e)], ~(m3(e,e,e)), ~(p2(e,e,e)) 11: top(X0) != e & top(X0) != e & top(X0) != e | [p3(X0,X0,X0)], ~( m3(X0,X0,X0)), ~(p2(X0,X0,X0)) 12: [p4(e,e,e)], ~(p3(e,e,e)) 13: top(X0) != e & top(X0) != e & top(X0) != e | [p4(X0,X0,X0)], ~( p4(e,e,e)), ~(r3(X0,X0,X0)) 14: ~(p2(e,e,e)), [k3(e,e,e)] 15: top(X0) != e & top(X0) != e & top(X0) != e | ~(p2(X0,X0,X0)), [k3( X0,X0,X0)] 16: [~(q1(b,b,b))] SZS status Unsatisfiable