%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : PUZ016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:23:55 EDT 2023

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 22:32:18 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.46  Command-line arguments: --flatten
% 0.19/0.46  
% 0.19/0.46  % SZS status Unsatisfiable
% 0.19/0.46  
% 0.19/0.59  % SZS output start Proof
% 0.19/0.59  Take the following subset of the input axioms:
% 0.19/0.59    fof(complement_of_covered_is_not_covered, axiom, complement(covered)=not_covered).
% 0.19/0.59    fof(complement_of_not_covered_is_covered, axiom, complement(not_covered)=covered).
% 0.19/0.59    fof(complement_of_removed_is_not_covered, axiom, complement(removed)=not_covered).
% 0.19/0.59    fof(cover_columns_2_and_3, axiom, ![X, Y4, Y5, Y6, Y7, Y8, Y1]: (~achievable(row(X), squares(Y1, not_covered, not_covered, Y4, Y5, Y6, Y7, Y8)) | achievable(row(X), squares(Y1, covered, covered, Y4, Y5, Y6, Y7, Y8)))).
% 0.19/0.59    fof(first_row_initially, hypothesis, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered))).
% 0.19/0.59    fof(place_vertical_pieces, axiom, ![Y3, Y2, X2, Y4_2, Y5_2, Y6_2, Y7_2, Y8_2, Y1_2]: (~achievable(row(X2), squares(Y1_2, Y2, Y3, Y4_2, Y5_2, Y6_2, Y7_2, Y8_2)) | achievable(row(successor(X2)), squares(complement(Y1_2), complement(Y2), complement(Y3), complement(Y4_2), complement(Y5_2), complement(Y6_2), complement(Y7_2), complement(Y8_2))))).
% 0.19/0.59    fof(prove_row_8_can_be_covered, negated_conjecture, ~achievable(row(n8), squares(covered, covered, covered, covered, covered, covered, covered, covered))).
% 0.19/0.59    fof(successor_of_1_is_2, axiom, successor(n1)=n2).
% 0.19/0.59    fof(successor_of_2_is_3, axiom, successor(n2)=n3).
% 0.19/0.59    fof(successor_of_3_is_4, axiom, successor(n3)=n4).
% 0.19/0.59    fof(successor_of_4_is_5, axiom, successor(n4)=n5).
% 0.19/0.59    fof(successor_of_5_is_6, axiom, successor(n5)=n6).
% 0.19/0.59    fof(successor_of_6_is_7, axiom, successor(n6)=n7).
% 0.19/0.59    fof(successor_of_7_is_8, axiom, successor(n7)=n8).
% 0.19/0.59  
% 0.19/0.59  Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.59  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.59  We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.59    fresh(y, y, x1...xn) = u
% 0.19/0.59    C => fresh(s, t, x1...xn) = v
% 0.19/0.59  where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.59  variables of u and v.
% 0.19/0.59  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.59  input problem has no model of domain size 1).
% 0.19/0.59  
% 0.19/0.59  The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.59  
% 0.19/0.59  Axiom 1 (complement_of_removed_is_not_covered): complement(removed) = not_covered.
% 0.19/0.59  Axiom 2 (complement_of_not_covered_is_covered): complement(not_covered) = covered.
% 0.19/0.59  Axiom 3 (complement_of_covered_is_not_covered): complement(covered) = not_covered.
% 0.19/0.59  Axiom 4 (successor_of_2_is_3): successor(n2) = n3.
% 0.19/0.59  Axiom 5 (successor_of_3_is_4): successor(n3) = n4.
% 0.19/0.59  Axiom 6 (successor_of_4_is_5): successor(n4) = n5.
% 0.19/0.59  Axiom 7 (successor_of_5_is_6): successor(n5) = n6.
% 0.19/0.59  Axiom 8 (successor_of_6_is_7): successor(n6) = n7.
% 0.19/0.59  Axiom 9 (successor_of_7_is_8): successor(n7) = n8.
% 0.19/0.59  Axiom 10 (successor_of_1_is_2): successor(n1) = n2.
% 0.19/0.59  Axiom 11 (cover_columns_2_and_3): fresh8(X, X, Y, Z, W, V, U, T, S) = true.
% 0.19/0.59  Axiom 12 (place_vertical_pieces): fresh(X, X, Y, Z, W, V, U, T, S, X2, Y2) = true.
% 0.19/0.59  Axiom 13 (first_row_initially): achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)) = true.
% 0.19/0.59  Axiom 14 (cover_columns_2_and_3): fresh8(achievable(row(X), squares(Y, not_covered, not_covered, Z, W, V, U, T)), true, X, Y, Z, W, V, U, T) = achievable(row(X), squares(Y, covered, covered, Z, W, V, U, T)).
% 0.19/0.59  Axiom 15 (place_vertical_pieces): fresh(achievable(row(X), squares(Y, Z, W, V, U, T, S, X2)), true, X, Y, Z, W, V, U, T, S, X2) = achievable(row(successor(X)), squares(complement(Y), complement(Z), complement(W), complement(V), complement(U), complement(T), complement(S), complement(X2))).
% 0.19/0.59  
% 0.19/0.59  Lemma 16: complement(covered) = complement(removed).
% 0.19/0.59  Proof:
% 0.19/0.59    complement(covered)
% 0.19/0.59  = { by axiom 3 (complement_of_covered_is_not_covered) }
% 0.19/0.59    not_covered
% 0.19/0.59  = { by axiom 1 (complement_of_removed_is_not_covered) R->L }
% 0.19/0.59    complement(removed)
% 0.19/0.59  
% 0.19/0.59  Lemma 17: complement(complement(covered)) = complement(not_covered).
% 0.19/0.59  Proof:
% 0.19/0.59    complement(complement(covered))
% 0.19/0.59  = { by lemma 16 }
% 0.19/0.59    complement(complement(removed))
% 0.19/0.59  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.59    complement(not_covered)
% 0.19/0.59  
% 0.19/0.59  Lemma 18: squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)) = squares(covered, covered, covered, covered, covered, covered, covered, covered).
% 0.19/0.59  Proof:
% 0.19/0.59    squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, covered, covered, complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, covered, covered, covered, complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, covered, covered, covered, covered, complement(not_covered))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    squares(covered, covered, covered, covered, covered, covered, covered, covered)
% 0.19/0.59  
% 0.19/0.59  Lemma 19: fresh(achievable(row(X), squares(Y, Z, W, V, U, T, S, X2)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), X, Y, Z, W, V, U, T, S, X2) = achievable(row(successor(X)), squares(complement(Y), complement(Z), complement(W), complement(V), complement(U), complement(T), complement(S), complement(X2))).
% 0.19/0.59  Proof:
% 0.19/0.59    fresh(achievable(row(X), squares(Y, Z, W, V, U, T, S, X2)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), X, Y, Z, W, V, U, T, S, X2)
% 0.19/0.59  = { by axiom 13 (first_row_initially) }
% 0.19/0.59    fresh(achievable(row(X), squares(Y, Z, W, V, U, T, S, X2)), true, X, Y, Z, W, V, U, T, S, X2)
% 0.19/0.59  = { by axiom 15 (place_vertical_pieces) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(Y), complement(Z), complement(W), complement(V), complement(U), complement(T), complement(S), complement(X2)))
% 0.19/0.59  
% 0.19/0.59  Lemma 20: fresh(achievable(row(X), squares(covered, covered, covered, covered, covered, covered, covered, covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), X, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)) = achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))).
% 0.19/0.59  Proof:
% 0.19/0.59    fresh(achievable(row(X), squares(covered, covered, covered, covered, covered, covered, covered, covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), X, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by lemma 18 R->L }
% 0.19/0.59    fresh(achievable(row(X), squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), X, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))
% 0.19/0.59  = { by lemma 19 }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(complement(not_covered)), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(complement(not_covered)), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.59    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(complement(not_covered))))
% 0.19/0.59  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.60    achievable(row(successor(X)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)))
% 0.19/0.60  
% 0.19/0.60  Goal 1 (prove_row_8_can_be_covered): achievable(row(n8), squares(covered, covered, covered, covered, covered, covered, covered, covered)) = true.
% 0.19/0.60  Proof:
% 0.19/0.60    achievable(row(n8), squares(covered, covered, covered, covered, covered, covered, covered, covered))
% 0.19/0.60  = { by lemma 18 R->L }
% 0.19/0.60    achievable(row(n8), squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.60  = { by lemma 17 R->L }
% 0.19/0.60    achievable(row(n8), squares(complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.60  = { by lemma 17 R->L }
% 0.19/0.60    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered)))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    achievable(row(n8), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered))))
% 0.19/0.61  = { by axiom 9 (successor_of_7_is_8) R->L }
% 0.19/0.61    achievable(row(successor(n7)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered))))
% 0.19/0.61  = { by axiom 8 (successor_of_6_is_7) R->L }
% 0.19/0.61    achievable(row(successor(successor(n6))), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered))))
% 0.19/0.61  = { by lemma 19 R->L }
% 0.19/0.61    fresh(achievable(row(successor(n6)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by axiom 7 (successor_of_5_is_6) R->L }
% 0.19/0.61    fresh(achievable(row(successor(successor(n5))), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 20 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(covered, covered, covered, covered, covered, covered, covered, covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 18 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(n5)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by axiom 6 (successor_of_4_is_5) R->L }
% 0.19/0.61    fresh(fresh(achievable(row(successor(successor(n4))), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 19 R->L }
% 0.19/0.61    fresh(fresh(fresh(achievable(row(successor(n4)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by axiom 5 (successor_of_3_is_4) R->L }
% 0.19/0.61    fresh(fresh(fresh(achievable(row(successor(successor(n3))), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 20 R->L }
% 0.19/0.61    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(covered, covered, covered, covered, covered, covered, covered, covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 18 R->L }
% 0.19/0.61    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.61    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.61  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 17 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(n3)), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by axiom 4 (successor_of_2_is_3) R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(achievable(row(successor(successor(n2))), squares(complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 19 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(fresh(achievable(row(successor(n2)), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by axiom 10 (successor_of_1_is_2) R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(fresh(achievable(row(successor(successor(n1))), squares(complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 20 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(fresh(fresh(achievable(row(successor(n1)), squares(covered, covered, covered, covered, covered, covered, covered, covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.62  = { by lemma 18 R->L }
% 0.19/0.62    fresh(fresh(fresh(fresh(fresh(fresh(achievable(row(successor(n1)), squares(complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(achievable(row(successor(n1)), squares(complement(not_covered), complement(not_covered), covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 2 (complement_of_not_covered_is_covered) }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(achievable(row(successor(n1)), squares(complement(not_covered), covered, covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 14 (cover_columns_2_and_3) R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), not_covered, not_covered, complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), true, successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 1 (complement_of_removed_is_not_covered) R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), not_covered, complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), true, successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 1 (complement_of_removed_is_not_covered) R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), true, successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 16 R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), true, successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 16 R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(covered), complement(covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), true, successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(covered), complement(covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 16 }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(covered), complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 16 }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 17 R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 17 R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(not_covered), complement(not_covered), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.63  = { by lemma 17 R->L }
% 0.19/0.63    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(not_covered), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 17 R->L }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(not_covered), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 17 R->L }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(not_covered), complement(removed), complement(removed), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 17 R->L }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(successor(n1)), squares(complement(complement(covered)), complement(removed), complement(removed), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)), complement(complement(covered)))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 19 R->L }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(removed), complement(covered), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(removed), complement(removed), complement(covered), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(removed), complement(removed), complement(removed), complement(covered), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(removed), complement(removed), complement(removed), complement(removed), complement(covered))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by lemma 16 }
% 0.19/0.64    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(complement(removed), removed, removed, complement(removed), complement(removed), complement(removed), complement(removed), complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.64  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, complement(removed), complement(removed), complement(removed), complement(removed), complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, complement(removed), complement(removed), complement(removed), complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, complement(removed), complement(removed), complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, complement(removed), complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, complement(removed))), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 1 (complement_of_removed_is_not_covered) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), n1, complement(covered), removed, removed, complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(fresh8(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 11 (cover_columns_2_and_3) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n1), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(fresh(fresh(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n2), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(fresh(fresh(fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(fresh(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n3), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(fresh(fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n4), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n5), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered), complement(not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    fresh(true, achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 13 (first_row_initially) R->L }
% 0.19/0.65    fresh(achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), achievable(row(n1), squares(not_covered, removed, removed, not_covered, not_covered, not_covered, not_covered, not_covered)), successor(n6), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered), complement(covered))
% 0.19/0.65  = { by axiom 12 (place_vertical_pieces) }
% 0.19/0.65    true
% 0.19/0.65  % SZS output end Proof
% 0.19/0.65  
% 0.19/0.65  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------