iProver---3.9.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PUZ016-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:32:42 PM UTC 2026

% Result   : Unsatisfiable 46.87s 21.93s
% Output   : CNFRefutation 46.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    : 1359 (  40 unt;   2 def)
%            Number of atoms       : 3543 (  27 equ)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives : 2641 (1322   ~;1319   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-8 aty)
%            Number of variables   : 4833 (   0 sgn4833   !;   0   ?;4775   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(covered,covered,X1,X2,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(not_covered,not_covered,X1,X2,X3,X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_1_and_2) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,covered,covered,X2,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,not_covered,not_covered,X2,X3,X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_2_and_3) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,X2,covered,covered,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,not_covered,X3,X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_3_and_4) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,X2,X3,covered,covered,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,not_covered,X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_4_and_5) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,covered,covered,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,not_covered,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_5_and_6) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,covered,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,not_covered,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_6_and_7) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,not_covered)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_7_and_8) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),complement(X8)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',place_vertical_pieces) ).

fof(f9,axiom,
    successor(n1) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_1_is_2) ).

fof(f10,axiom,
    successor(n2) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_2_is_3) ).

fof(f11,axiom,
    successor(n3) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_3_is_4) ).

fof(f12,axiom,
    successor(n4) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_4_is_5) ).

fof(f13,axiom,
    successor(n5) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_5_is_6) ).

fof(f14,axiom,
    successor(n6) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_6_is_7) ).

fof(f15,axiom,
    successor(n7) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_7_is_8) ).

fof(f16,axiom,
    successor(n8) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_8_is_9) ).

fof(f17,axiom,
    complement(covered) = not_covered,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_covered_is_not_covered) ).

fof(f18,plain,
    not_covered = complement(covered),
    inference(reorient_equations,[],[f17]) ).

fof(f19,axiom,
    complement(not_covered) = covered,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_not_covered_is_covered) ).

fof(f20,plain,
    covered = complement(not_covered),
    inference(reorient_equations,[],[f19]) ).

fof(f21,axiom,
    complement(removed) = not_covered,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_removed_is_not_covered) ).

fof(f22,plain,
    not_covered = complement(removed),
    inference(reorient_equations,[],[f21]) ).

fof(f23,axiom,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,not_covered,not_covered,not_covered)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_row_initially) ).

fof(f24,negated_conjecture,
    ~ achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,covered)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_row_8_can_be_covered) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(covered,covered,X1,X2,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(not_covered,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,covered,covered,X2,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,not_covered,not_covered,X2,X3,X4,X5,X6)) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,X2,covered,covered,X3,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,not_covered,X3,X4,X5,X6)) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,X2,X3,covered,covered,X4,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,not_covered,X4,X5,X6)) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,covered,covered,X5,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,not_covered,X5,X6)) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,covered,X6))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,not_covered,X6)) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,not_covered)) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),complement(X8)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,X8)) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_78,plain,
    successor(n1) = n2,
    inference(cnf_transformation,[],[f9]) ).

tcf(c_79,plain,
    successor(n2) = n3,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_80,plain,
    successor(n3) = n4,
    inference(cnf_transformation,[],[f11]) ).

tcf(c_81,plain,
    successor(n4) = n5,
    inference(cnf_transformation,[],[f12]) ).

tcf(c_82,plain,
    successor(n5) = n6,
    inference(cnf_transformation,[],[f13]) ).

tcf(c_83,plain,
    successor(n6) = n7,
    inference(cnf_transformation,[],[f14]) ).

tcf(c_84,plain,
    successor(n7) = n8,
    inference(cnf_transformation,[],[f15]) ).

tcf(c_85,plain,
    successor(n8) = n9,
    inference(cnf_transformation,[],[f16]) ).

tcf(c_86,plain,
    complement(covered) = not_covered,
    inference(cnf_transformation,[],[f18]) ).

tcf(c_87,plain,
    complement(not_covered) = covered,
    inference(cnf_transformation,[],[f20]) ).

tcf(c_88,plain,
    complement(removed) = not_covered,
    inference(cnf_transformation,[],[f22]) ).

tcf(c_89,plain,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,not_covered,not_covered,not_covered)),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_90,negated_conjecture,
    ~ achievable(row(n8),squares(covered,covered,covered,covered,covered,covered,covered,covered)),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_195,definition,
    iPr_def_10 = row(n8),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_196,definition,
    iPr_def_11 = squares(covered,covered,covered,covered,covered,covered,covered,covered),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_197,negated_conjecture,
    ~ achievable(iPr_def_10,iPr_def_11),
    inference(demodulation,[status(thm)],[c_90,c_196,c_195]) ).

tcf(c_161862,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(covered,covered,X0,X1,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(not_covered,not_covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_70]) ).

tcf(c_161863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(not_covered,not_covered,X0,X1,X2,X3,X4,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161862,c_195]) ).

tcf(c_161874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,covered,covered,X1,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,not_covered,not_covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_71]) ).

tcf(c_161875,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,covered,covered,X1,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,not_covered,not_covered,X1,X2,X3,X4,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161874,c_195]) ).

tcf(c_161886,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,X1,covered,covered,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,not_covered,not_covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_72]) ).

tcf(c_161887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,X1,covered,covered,X2,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,not_covered,not_covered,X2,X3,X4,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161886,c_195]) ).

tcf(c_161898,plain,
    achievable(row(n1),squares(not_covered,removed,removed,covered,covered,not_covered,not_covered,not_covered)),
    inference(superposition,[status(thm)],[c_89,c_73]) ).

tcf(c_161899,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,X1,X2,covered,covered,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,not_covered,not_covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_73]) ).

tcf(c_161900,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,X1,X2,covered,covered,X3,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,not_covered,not_covered,X3,X4,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161899,c_195]) ).

tcf(c_161911,plain,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,covered,covered,not_covered,not_covered)),
    inference(superposition,[status(thm)],[c_89,c_74]) ).

tcf(c_161912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,X1,X2,X3,covered,covered,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,not_covered,not_covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_74]) ).

tcf(c_161913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,X1,X2,X3,covered,covered,X4,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,not_covered,not_covered,X4,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161912,c_195]) ).

tcf(c_161920,plain,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,covered,covered,not_covered)),
    inference(superposition,[status(thm)],[c_89,c_75]) ).

tcf(c_161921,plain,
    achievable(row(n1),squares(not_covered,removed,removed,covered,covered,covered,covered,not_covered)),
    inference(superposition,[status(thm)],[c_161898,c_75]) ).

tcf(c_161922,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,X1,X2,X3,X4,covered,covered,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,not_covered,not_covered,X5)) ),
    inference(superposition,[status(thm)],[c_195,c_75]) ).

tcf(c_161923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,covered,covered,X5))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,not_covered,not_covered,X5)) ),
    inference(light_normalisation,[status(thm)],[c_161922,c_195]) ).

tcf(c_161930,plain,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,not_covered,not_covered,covered,covered)),
    inference(superposition,[status(thm)],[c_89,c_76]) ).

tcf(c_161931,plain,
    achievable(row(n1),squares(not_covered,removed,removed,covered,covered,not_covered,covered,covered)),
    inference(superposition,[status(thm)],[c_161898,c_76]) ).

tcf(c_161932,plain,
    achievable(row(n1),squares(not_covered,removed,removed,not_covered,covered,covered,covered,covered)),
    inference(superposition,[status(thm)],[c_161911,c_76]) ).

tcf(c_161933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,covered,covered))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_195,c_76]) ).

tcf(c_161934,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,covered,covered))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,not_covered,not_covered)) ),
    inference(light_normalisation,[status(thm)],[c_161933,c_195]) ).

tcf(c_161941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_78,c_77]) ).

tcf(c_161942,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_79,c_77]) ).

tcf(c_161943,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_80,c_77]) ).

tcf(c_161944,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_81,c_77]) ).

tcf(c_161945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_82,c_77]) ).

tcf(c_161946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_83,c_77]) ).

tcf(c_161947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_84,c_77]) ).

tcf(c_161948,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_85,c_77]) ).

tcf(c_161949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161953,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161960,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161964,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,X6,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,X6,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161966,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,X6,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161967,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,X7)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered,complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,X7)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,complement(X7)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,removed,X7)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_161970,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

tcf(c_161971,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_77]) ).

tcf(c_161972,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,X7,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_77]) ).

tcf(c_162021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(light_normalisation,[status(thm)],[c_161948,c_195]) ).

tcf(c_162024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),complement(X7)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(light_normalisation,[status(thm)],[c_161947,c_195]) ).

tcf(c_162068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162069,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162078,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162021]) ).

tcf(c_162090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162021]) ).

tcf(c_162091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(iPr_def_10,squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162021]) ).

tcf(c_162161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,not_covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,removed,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,not_covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,removed,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,not_covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162169,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,removed,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,not_covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,removed,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,not_covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,removed,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,covered,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,not_covered,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,removed,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,X5,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162068]) ).

tcf(c_162180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,X5,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162068]) ).

tcf(c_162181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,X0,X1,X2,X3,X4,X5,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162068]) ).

tcf(c_162264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,not_covered,X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162266,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,removed,X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162267,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,covered,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,not_covered,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,removed,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,covered,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,not_covered,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,removed,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,covered,X3,X4)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,not_covered,X3,X4)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,removed,X3,X4)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162276,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,covered,X4)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,not_covered,X4)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,removed,X4)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162161]) ).

tcf(c_162280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162161]) ).

tcf(c_162281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162161]) ).

tcf(c_162282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(covered,covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_162161,c_70]) ).

tcf(c_162391,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_86,c_162264]) ).

tcf(c_162392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,not_covered,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_87,c_162264]) ).

tcf(c_162393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,removed,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_88,c_162264]) ).

tcf(c_162394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,covered,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_86,c_162264]) ).

tcf(c_162395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),covered,complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,not_covered,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_87,c_162264]) ).

tcf(c_162396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,removed,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_88,c_162264]) ).

tcf(c_162397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,covered,X2,X3)) ),
    inference(superposition,[status(thm)],[c_86,c_162264]) ).

tcf(c_162398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),covered,complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,not_covered,X2,X3)) ),
    inference(superposition,[status(thm)],[c_87,c_162264]) ).

tcf(c_162399,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,removed,X2,X3)) ),
    inference(superposition,[status(thm)],[c_88,c_162264]) ).

tcf(c_162400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,covered,X3)) ),
    inference(superposition,[status(thm)],[c_86,c_162264]) ).

tcf(c_162401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),covered,complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,not_covered,X3)) ),
    inference(superposition,[status(thm)],[c_87,c_162264]) ).

tcf(c_162402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,removed,X3)) ),
    inference(superposition,[status(thm)],[c_88,c_162264]) ).

tcf(c_162403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162264]) ).

tcf(c_162404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162264]) ).

tcf(c_162405,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162264]) ).

tcf(c_162406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_162264,c_70]) ).

tcf(c_162407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,X0,X1,X2,X3,X4)) ),
    inference(superposition,[status(thm)],[c_162264,c_71]) ).

tcf(c_162492,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_86,c_162391]) ).

tcf(c_162493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,not_covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_87,c_162391]) ).

tcf(c_162494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,removed,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_88,c_162391]) ).

tcf(c_162495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,covered,X1,X2)) ),
    inference(superposition,[status(thm)],[c_86,c_162391]) ).

tcf(c_162496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),covered,complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,not_covered,X1,X2)) ),
    inference(superposition,[status(thm)],[c_87,c_162391]) ).

tcf(c_162497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,removed,X1,X2)) ),
    inference(superposition,[status(thm)],[c_88,c_162391]) ).

tcf(c_162498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,covered,X2)) ),
    inference(superposition,[status(thm)],[c_86,c_162391]) ).

tcf(c_162499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),covered,complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,not_covered,X2)) ),
    inference(superposition,[status(thm)],[c_87,c_162391]) ).

tcf(c_162500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered,complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,removed,X2)) ),
    inference(superposition,[status(thm)],[c_88,c_162391]) ).

tcf(c_162501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162391]) ).

tcf(c_162502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162391]) ).

tcf(c_162503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162391]) ).

tcf(c_162504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_162391,c_70]) ).

tcf(c_162505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_162391,c_71]) ).

tcf(c_162506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,complement(X0),complement(X1),complement(X2),complement(X3)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,X0,X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_162391,c_72]) ).

tcf(c_162651,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162663,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162665,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161941]) ).

tcf(c_162673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161941]) ).

tcf(c_162674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n2),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n1),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161941]) ).

tcf(c_162746,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_86,c_162492]) ).

tcf(c_162747,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_87,c_162492]) ).

tcf(c_162748,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_88,c_162492]) ).

tcf(c_162749,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,covered,X1)) ),
    inference(superposition,[status(thm)],[c_86,c_162492]) ).

tcf(c_162750,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),covered,complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,not_covered,X1)) ),
    inference(superposition,[status(thm)],[c_87,c_162492]) ).

tcf(c_162751,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered,complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,removed,X1)) ),
    inference(superposition,[status(thm)],[c_88,c_162492]) ).

tcf(c_162752,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162492]) ).

tcf(c_162753,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162492]) ).

tcf(c_162754,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162492]) ).

tcf(c_162755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_162492,c_70]) ).

tcf(c_162756,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_162492,c_71]) ).

tcf(c_162757,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_162492,c_72]) ).

tcf(c_162758,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,complement(X0),complement(X1),complement(X2)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,X0,X1,X2)) ),
    inference(superposition,[status(thm)],[c_162492,c_73]) ).

tcf(c_162801,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_86,c_162746]) ).

tcf(c_162802,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_87,c_162746]) ).

tcf(c_162803,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_88,c_162746]) ).

tcf(c_162804,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162746]) ).

tcf(c_162805,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162746]) ).

tcf(c_162806,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162746]) ).

tcf(c_162807,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162746,c_70]) ).

tcf(c_162808,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162746,c_71]) ).

tcf(c_162809,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162746,c_72]) ).

tcf(c_162810,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162746,c_73]) ).

tcf(c_162811,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162746,c_74]) ).

tcf(c_162874,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162801]) ).

tcf(c_162875,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162801]) ).

tcf(c_162876,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162801]) ).

tcf(c_162877,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_70]) ).

tcf(c_162878,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_71]) ).

tcf(c_162879,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_72]) ).

tcf(c_162880,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_73]) ).

tcf(c_162881,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_74]) ).

tcf(c_162882,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162801,c_75]) ).

tcf(c_162887,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_162874,c_196]) ).

tcf(c_162923,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_70]) ).

tcf(c_162924,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_71]) ).

tcf(c_162925,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_72]) ).

tcf(c_162926,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_73]) ).

tcf(c_162927,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_74]) ).

tcf(c_162928,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162875,c_75]) ).

tcf(c_162949,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_70]) ).

tcf(c_162950,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_71]) ).

tcf(c_162951,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_72]) ).

tcf(c_162952,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_73]) ).

tcf(c_162953,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_74]) ).

tcf(c_162954,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_75]) ).

tcf(c_162955,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162876,c_76]) ).

tcf(c_162994,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162923,c_72]) ).

tcf(c_162995,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162923,c_73]) ).

tcf(c_162996,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162923,c_74]) ).

tcf(c_162997,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162923,c_75]) ).

tcf(c_163012,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162924,c_73]) ).

tcf(c_163013,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162924,c_74]) ).

tcf(c_163014,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162924,c_75]) ).

tcf(c_163028,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162925,c_74]) ).

tcf(c_163029,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162925,c_75]) ).

tcf(c_163040,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162926,c_75]) ).

tcf(c_163064,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162949,c_72]) ).

tcf(c_163065,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162949,c_73]) ).

tcf(c_163066,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162949,c_74]) ).

tcf(c_163067,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162949,c_75]) ).

tcf(c_163068,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162949,c_76]) ).

tcf(c_163085,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162950,c_73]) ).

tcf(c_163086,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162950,c_74]) ).

tcf(c_163087,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162950,c_75]) ).

tcf(c_163088,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162950,c_76]) ).

tcf(c_163106,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162951,c_74]) ).

tcf(c_163107,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162951,c_75]) ).

tcf(c_163108,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162951,c_76]) ).

tcf(c_163153,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162952,c_75]) ).

tcf(c_163154,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162952,c_76]) ).

tcf(c_163166,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_162953,c_76]) ).

tcf(c_163181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163195,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163201,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161942]) ).

tcf(c_163203,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161942]) ).

tcf(c_163204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n3),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n2),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161942]) ).

tcf(c_163436,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162994,c_74]) ).

tcf(c_163437,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162994,c_75]) ).

tcf(c_163446,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_162995,c_75]) ).

tcf(c_163464,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163012,c_75]) ).

tcf(c_163500,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163064,c_74]) ).

tcf(c_163501,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163064,c_75]) ).

tcf(c_163502,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163064,c_76]) ).

tcf(c_163513,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163065,c_75]) ).

tcf(c_163514,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163065,c_76]) ).

tcf(c_163529,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163066,c_76]) ).

tcf(c_163542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163544,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163548,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163549,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161943]) ).

tcf(c_163564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161943]) ).

tcf(c_163565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n4),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n3),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161943]) ).

tcf(c_163673,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163085,c_75]) ).

tcf(c_163674,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163085,c_76]) ).

tcf(c_163683,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163086,c_76]) ).

tcf(c_163714,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163106,c_76]) ).

tcf(c_163773,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_163500,c_76]) ).

tcf(c_163774,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,removed)) ),
    inference(light_normalisation,[status(thm)],[c_163773,c_196]) ).

tcf(c_163781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161944]) ).

tcf(c_163803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161944]) ).

tcf(c_163804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n5),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n4),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161944]) ).

tcf(c_163965,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162802]) ).

tcf(c_163966,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162802]) ).

tcf(c_163967,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162802]) ).

tcf(c_163968,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_162802,c_70]) ).

tcf(c_163969,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_162802,c_71]) ).

tcf(c_163970,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_162802,c_72]) ).

tcf(c_163971,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_162802,c_73]) ).

tcf(c_163972,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_162802,c_74]) ).

tcf(c_164011,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_163965,c_70]) ).

tcf(c_164012,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_163965,c_71]) ).

tcf(c_164013,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_163965,c_72]) ).

tcf(c_164014,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_163965,c_73]) ).

tcf(c_164015,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_163965,c_74]) ).

tcf(c_164040,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163966,c_70]) ).

tcf(c_164041,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163966,c_71]) ).

tcf(c_164042,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163966,c_72]) ).

tcf(c_164043,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163966,c_73]) ).

tcf(c_164044,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_163966,c_74]) ).

tcf(c_164068,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_163967,c_70]) ).

tcf(c_164069,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_163967,c_71]) ).

tcf(c_164070,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_163967,c_72]) ).

tcf(c_164071,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_163967,c_73]) ).

tcf(c_164072,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_163967,c_74]) ).

tcf(c_164106,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164011,c_72]) ).

tcf(c_164107,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164011,c_73]) ).

tcf(c_164108,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164011,c_74]) ).

tcf(c_164208,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164012,c_73]) ).

tcf(c_164209,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164012,c_74]) ).

tcf(c_164221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164232,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161945]) ).

tcf(c_164243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161945]) ).

tcf(c_164244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n6),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n5),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161945]) ).

tcf(c_164337,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164013,c_74]) ).

tcf(c_164359,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164040,c_72]) ).

tcf(c_164360,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164040,c_73]) ).

tcf(c_164361,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164040,c_74]) ).

tcf(c_164372,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164041,c_73]) ).

tcf(c_164373,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164041,c_74]) ).

tcf(c_164385,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164042,c_74]) ).

tcf(c_164424,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164068,c_72]) ).

tcf(c_164425,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164068,c_73]) ).

tcf(c_164426,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164068,c_74]) ).

tcf(c_164439,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164069,c_73]) ).

tcf(c_164440,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164069,c_74]) ).

tcf(c_164450,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164070,c_74]) ).

tcf(c_164474,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_164106,c_74]) ).

tcf(c_164494,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161946]) ).

tcf(c_164516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161946]) ).

tcf(c_164517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n7),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n6),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161946]) ).

tcf(c_164695,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_164359,c_74]) ).

tcf(c_164696,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered)) ),
    inference(light_normalisation,[status(thm)],[c_164695,c_196]) ).

tcf(c_164744,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_164424,c_74]) ).

tcf(c_164779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161949]) ).

tcf(c_164780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161949]) ).

tcf(c_164781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161949]) ).

tcf(c_164800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161949]) ).

tcf(c_164801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(covered,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161949]) ).

tcf(c_164845,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_164779,c_195]) ).

tcf(c_164947,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162803]) ).

tcf(c_164948,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162803]) ).

tcf(c_164949,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162803]) ).

tcf(c_164950,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_70]) ).

tcf(c_164951,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_71]) ).

tcf(c_164952,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_72]) ).

tcf(c_164953,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_73]) ).

tcf(c_164954,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_74]) ).

tcf(c_164955,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_162803,c_75]) ).

tcf(c_164982,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_70]) ).

tcf(c_164983,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_71]) ).

tcf(c_164984,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_72]) ).

tcf(c_164985,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_73]) ).

tcf(c_164986,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_74]) ).

tcf(c_164987,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_75]) ).

tcf(c_164988,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164947,c_76]) ).

tcf(c_165015,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_70]) ).

tcf(c_165016,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_71]) ).

tcf(c_165017,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_72]) ).

tcf(c_165018,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_73]) ).

tcf(c_165019,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_74]) ).

tcf(c_165020,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_164948,c_75]) ).

tcf(c_165062,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_70]) ).

tcf(c_165063,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_71]) ).

tcf(c_165064,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_72]) ).

tcf(c_165065,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_73]) ).

tcf(c_165066,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_74]) ).

tcf(c_165067,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_75]) ).

tcf(c_165068,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_164949,c_76]) ).

tcf(c_165117,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164982,c_72]) ).

tcf(c_165118,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164982,c_73]) ).

tcf(c_165119,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164982,c_74]) ).

tcf(c_165120,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164982,c_75]) ).

tcf(c_165121,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164982,c_76]) ).

tcf(c_165141,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164983,c_73]) ).

tcf(c_165142,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164983,c_74]) ).

tcf(c_165143,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164983,c_75]) ).

tcf(c_165144,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164983,c_76]) ).

tcf(c_165162,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164984,c_74]) ).

tcf(c_165163,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164984,c_75]) ).

tcf(c_165164,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164984,c_76]) ).

tcf(c_165189,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164985,c_75]) ).

tcf(c_165190,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164985,c_76]) ).

tcf(c_165202,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_164986,c_76]) ).

tcf(c_165230,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165015,c_72]) ).

tcf(c_165231,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165015,c_73]) ).

tcf(c_165232,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165015,c_74]) ).

tcf(c_165233,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165015,c_75]) ).

tcf(c_165246,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165016,c_73]) ).

tcf(c_165247,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165016,c_74]) ).

tcf(c_165248,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165016,c_75]) ).

tcf(c_165264,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165017,c_74]) ).

tcf(c_165265,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165017,c_75]) ).

tcf(c_165284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161950]) ).

tcf(c_165285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161950]) ).

tcf(c_165286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165293,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165294,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161950]) ).

tcf(c_165305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161950]) ).

tcf(c_165306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(not_covered,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161950]) ).

tcf(c_165350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(not_covered,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_165284,c_195]) ).

tcf(c_165430,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165018,c_75]) ).

tcf(c_165452,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165062,c_72]) ).

tcf(c_165453,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165062,c_73]) ).

tcf(c_165454,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165062,c_74]) ).

tcf(c_165455,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165062,c_75]) ).

tcf(c_165456,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165062,c_76]) ).

tcf(c_165475,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165063,c_73]) ).

tcf(c_165476,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165063,c_74]) ).

tcf(c_165477,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165063,c_75]) ).

tcf(c_165478,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165063,c_76]) ).

tcf(c_165556,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165064,c_74]) ).

tcf(c_165557,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165064,c_75]) ).

tcf(c_165558,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165064,c_76]) ).

tcf(c_165571,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165065,c_75]) ).

tcf(c_165572,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165065,c_76]) ).

tcf(c_165584,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165066,c_76]) ).

tcf(c_165617,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165117,c_74]) ).

tcf(c_165618,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165117,c_75]) ).

tcf(c_165619,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165117,c_76]) ).

tcf(c_165630,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165118,c_75]) ).

tcf(c_165631,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165118,c_76]) ).

tcf(c_165646,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165119,c_76]) ).

tcf(c_165671,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165141,c_75]) ).

tcf(c_165672,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165141,c_76]) ).

tcf(c_165687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161951]) ).

tcf(c_165688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161951]) ).

tcf(c_165689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165704,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161951]) ).

tcf(c_165708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161951]) ).

tcf(c_165709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(removed,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161951]) ).

tcf(c_165753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(removed,X0,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_165687,c_195]) ).

tcf(c_165805,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165142,c_76]) ).

tcf(c_165829,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165162,c_76]) ).

tcf(c_165871,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165230,c_74]) ).

tcf(c_165872,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165230,c_75]) ).

tcf(c_165893,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165231,c_75]) ).

tcf(c_165924,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_165246,c_75]) ).

tcf(c_165946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161952]) ).

tcf(c_165947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161952]) ).

tcf(c_165951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165953,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_165954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_165957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_165960,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_165963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165964,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_165966,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161952]) ).

tcf(c_165967,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161952]) ).

tcf(c_165968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,covered,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161952]) ).

tcf(c_166006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,covered,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_165946,c_195]) ).

tcf(c_166142,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165452,c_74]) ).

tcf(c_166143,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165452,c_75]) ).

tcf(c_166144,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165452,c_76]) ).

tcf(c_166155,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165453,c_75]) ).

tcf(c_166156,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165453,c_76]) ).

tcf(c_166166,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165454,c_76]) ).

tcf(c_166196,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165475,c_75]) ).

tcf(c_166197,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165475,c_76]) ).

tcf(c_166206,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165476,c_76]) ).

tcf(c_166239,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_165556,c_76]) ).

tcf(c_166269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161953]) ).

tcf(c_166270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161953]) ).

tcf(c_166274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166276,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161953]) ).

tcf(c_166290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161953]) ).

tcf(c_166291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,not_covered,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161953]) ).

tcf(c_166329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,not_covered,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_166269,c_195]) ).

tcf(c_166376,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_165617,c_76]) ).

tcf(c_166377,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,covered)) ),
    inference(light_normalisation,[status(thm)],[c_166376,c_196]) ).

tcf(c_166445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161954]) ).

tcf(c_166446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161954]) ).

tcf(c_166450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161954]) ).

tcf(c_166466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161954]) ).

tcf(c_166467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,removed,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161954]) ).

tcf(c_166505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,removed,X1,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_166445,c_195]) ).

tcf(c_166605,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_166142,c_76]) ).

tcf(c_166606,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,removed)) ),
    inference(light_normalisation,[status(thm)],[c_166605,c_196]) ).

tcf(c_166665,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_162804,c_70]) ).

tcf(c_166666,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_162804,c_71]) ).

tcf(c_166667,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_162804,c_72]) ).

tcf(c_166668,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_162804,c_73]) ).

tcf(c_166669,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_162804,c_74]) ).

tcf(c_166696,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_162805,c_70]) ).

tcf(c_166697,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_162805,c_71]) ).

tcf(c_166698,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_162805,c_72]) ).

tcf(c_166699,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_162805,c_73]) ).

tcf(c_166700,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_162805,c_74]) ).

tcf(c_166805,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_162806,c_70]) ).

tcf(c_166806,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_162806,c_71]) ).

tcf(c_166807,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_162806,c_72]) ).

tcf(c_166808,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_162806,c_73]) ).

tcf(c_166809,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_162806,c_74]) ).

tcf(c_166824,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162877]) ).

tcf(c_166827,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162877,c_72]) ).

tcf(c_166828,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162877,c_73]) ).

tcf(c_166829,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162877,c_74]) ).

tcf(c_166830,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162877,c_75]) ).

tcf(c_166831,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166824,c_196]) ).

tcf(c_166850,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161955]) ).

tcf(c_166851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161955]) ).

tcf(c_166858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161955]) ).

tcf(c_166859,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161955]) ).

tcf(c_166860,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161955]) ).

tcf(c_166861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161955]) ).

tcf(c_166862,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161955]) ).

tcf(c_166863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161955]) ).

tcf(c_166864,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161955]) ).

tcf(c_166865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161955]) ).

tcf(c_166866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161955]) ).

tcf(c_166867,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161955]) ).

tcf(c_166868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161955]) ).

tcf(c_166869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161955]) ).

tcf(c_166870,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161955]) ).

tcf(c_166871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161955]) ).

tcf(c_166872,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,covered,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161955]) ).

tcf(c_166904,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,covered,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_166850,c_195]) ).

tcf(c_166937,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162878]) ).

tcf(c_166940,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162878,c_73]) ).

tcf(c_166941,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162878,c_74]) ).

tcf(c_166942,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162878,c_75]) ).

tcf(c_166943,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166937,c_196]) ).

tcf(c_166954,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162879]) ).

tcf(c_166958,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162879,c_74]) ).

tcf(c_166959,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162879,c_75]) ).

tcf(c_166960,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166954,c_196]) ).

tcf(c_166973,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162880]) ).

tcf(c_166978,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_162880,c_75]) ).

tcf(c_166979,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166973,c_196]) ).

tcf(c_166986,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162881]) ).

tcf(c_166992,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166986,c_196]) ).

tcf(c_166997,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162882]) ).

tcf(c_167004,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_166997,c_196]) ).

tcf(c_167012,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163968,c_72]) ).

tcf(c_167013,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163968,c_73]) ).

tcf(c_167014,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163968,c_74]) ).

tcf(c_167032,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163969,c_73]) ).

tcf(c_167033,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163969,c_74]) ).

tcf(c_167046,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_163970,c_74]) ).

tcf(c_167079,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164950,c_72]) ).

tcf(c_167080,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164950,c_73]) ).

tcf(c_167081,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164950,c_74]) ).

tcf(c_167082,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164950,c_75]) ).

tcf(c_167098,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164951,c_73]) ).

tcf(c_167099,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164951,c_74]) ).

tcf(c_167100,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164951,c_75]) ).

tcf(c_167119,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164952,c_74]) ).

tcf(c_167120,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164952,c_75]) ).

tcf(c_167138,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_164953,c_75]) ).

tcf(c_167172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161956]) ).

tcf(c_167173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161956]) ).

tcf(c_167180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161956]) ).

tcf(c_167181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161956]) ).

tcf(c_167182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161956]) ).

tcf(c_167183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161956]) ).

tcf(c_167184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161956]) ).

tcf(c_167185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161956]) ).

tcf(c_167186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161956]) ).

tcf(c_167187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161956]) ).

tcf(c_167188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161956]) ).

tcf(c_167189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161956]) ).

tcf(c_167190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161956]) ).

tcf(c_167191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161956]) ).

tcf(c_167192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161956]) ).

tcf(c_167193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161956]) ).

tcf(c_167194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,not_covered,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161956]) ).

tcf(c_167226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,not_covered,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_167172,c_195]) ).

tcf(c_167319,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166665,c_72]) ).

tcf(c_167320,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166665,c_73]) ).

tcf(c_167321,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166665,c_74]) ).

tcf(c_167339,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166666,c_73]) ).

tcf(c_167340,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166666,c_74]) ).

tcf(c_167362,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_166667,c_74]) ).

tcf(c_167402,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166696,c_72]) ).

tcf(c_167403,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166696,c_73]) ).

tcf(c_167404,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166696,c_74]) ).

tcf(c_167424,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166697,c_73]) ).

tcf(c_167425,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166697,c_74]) ).

tcf(c_167455,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_166698,c_74]) ).

tcf(c_167495,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166805,c_72]) ).

tcf(c_167496,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166805,c_73]) ).

tcf(c_167497,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166805,c_74]) ).

tcf(c_167511,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166806,c_73]) ).

tcf(c_167512,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166806,c_74]) ).

tcf(c_167525,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_166807,c_74]) ).

tcf(c_167556,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166827]) ).

tcf(c_167559,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_166827,c_74]) ).

tcf(c_167560,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_166827,c_75]) ).

tcf(c_167561,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167556,c_196]) ).

tcf(c_167576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161957]) ).

tcf(c_167577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161957]) ).

tcf(c_167584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161957]) ).

tcf(c_167585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161957]) ).

tcf(c_167586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161957]) ).

tcf(c_167587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161957]) ).

tcf(c_167588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161957]) ).

tcf(c_167589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161957]) ).

tcf(c_167590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161957]) ).

tcf(c_167591,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161957]) ).

tcf(c_167592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161957]) ).

tcf(c_167593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161957]) ).

tcf(c_167594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161957]) ).

tcf(c_167595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161957]) ).

tcf(c_167596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161957]) ).

tcf(c_167597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161957]) ).

tcf(c_167598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,removed,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161957]) ).

tcf(c_167630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,removed,X2,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_167576,c_195]) ).

tcf(c_167702,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166828]) ).

tcf(c_167705,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_166828,c_75]) ).

tcf(c_167706,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167702,c_196]) ).

tcf(c_167713,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166829]) ).

tcf(c_167717,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167713,c_196]) ).

tcf(c_167726,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166830]) ).

tcf(c_167731,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167726,c_196]) ).

tcf(c_167736,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166940]) ).

tcf(c_167739,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_166940,c_75]) ).

tcf(c_167740,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167736,c_196]) ).

tcf(c_167747,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166941]) ).

tcf(c_167750,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167747,c_196]) ).

tcf(c_167755,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166942]) ).

tcf(c_167759,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167755,c_196]) ).

tcf(c_167764,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166958]) ).

tcf(c_167768,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167764,c_196]) ).

tcf(c_167773,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166959]) ).

tcf(c_167777,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167773,c_196]) ).

tcf(c_167782,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_166978]) ).

tcf(c_167787,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_167782,c_196]) ).

tcf(c_167795,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_167012,c_74]) ).

tcf(c_167842,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_167079,c_74]) ).

tcf(c_167843,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_167079,c_75]) ).

tcf(c_167858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161958]) ).

tcf(c_167859,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161958]) ).

tcf(c_167869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161958]) ).

tcf(c_167870,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161958]) ).

tcf(c_167871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161958]) ).

tcf(c_167872,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161958]) ).

tcf(c_167873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161958]) ).

tcf(c_167874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161958]) ).

tcf(c_167875,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161958]) ).

tcf(c_167876,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161958]) ).

tcf(c_167877,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161958]) ).

tcf(c_167878,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161958]) ).

tcf(c_167879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161958]) ).

tcf(c_167880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,covered,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161958]) ).

tcf(c_167906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,covered,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_167858,c_195]) ).

tcf(c_167933,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_167080,c_75]) ).

tcf(c_167969,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_167098,c_75]) ).

tcf(c_168019,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_167319,c_74]) ).

tcf(c_168066,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_167402,c_74]) ).

tcf(c_168079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161959]) ).

tcf(c_168080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161959]) ).

tcf(c_168090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161959]) ).

tcf(c_168091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161959]) ).

tcf(c_168092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161959]) ).

tcf(c_168093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161959]) ).

tcf(c_168094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161959]) ).

tcf(c_168095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161959]) ).

tcf(c_168096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161959]) ).

tcf(c_168097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161959]) ).

tcf(c_168098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161959]) ).

tcf(c_168099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161959]) ).

tcf(c_168100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161959]) ).

tcf(c_168101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,not_covered,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161959]) ).

tcf(c_168127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,not_covered,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_168079,c_195]) ).

tcf(c_168216,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_167495,c_74]) ).

tcf(c_168265,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_167559]) ).

tcf(c_168268,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_168265,c_196]) ).

tcf(c_168273,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_167560]) ).

tcf(c_168276,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_168273,c_196]) ).

tcf(c_168281,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_167705]) ).

tcf(c_168284,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_168281,c_196]) ).

tcf(c_168289,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_167739]) ).

tcf(c_168292,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_168289,c_196]) ).

tcf(c_168310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161960]) ).

tcf(c_168311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161960]) ).

tcf(c_168321,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161960]) ).

tcf(c_168322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161960]) ).

tcf(c_168323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161960]) ).

tcf(c_168324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161960]) ).

tcf(c_168325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161960]) ).

tcf(c_168326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161960]) ).

tcf(c_168327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161960]) ).

tcf(c_168328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161960]) ).

tcf(c_168329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161960]) ).

tcf(c_168330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161960]) ).

tcf(c_168331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161960]) ).

tcf(c_168332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,removed,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161960]) ).

tcf(c_168358,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,removed,X3,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_168310,c_195]) ).

tcf(c_168466,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_86,c_162747]) ).

tcf(c_168467,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_87,c_162747]) ).

tcf(c_168468,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_88,c_162747]) ).

tcf(c_168469,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162747]) ).

tcf(c_168470,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162747]) ).

tcf(c_168471,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162747]) ).

tcf(c_168472,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162747,c_70]) ).

tcf(c_168473,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162747,c_71]) ).

tcf(c_168474,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162747,c_72]) ).

tcf(c_168475,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162747,c_73]) ).

tcf(c_168519,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_168466]) ).

tcf(c_168520,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_168466]) ).

tcf(c_168521,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_168466]) ).

tcf(c_168522,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168466,c_70]) ).

tcf(c_168523,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168466,c_71]) ).

tcf(c_168524,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168466,c_72]) ).

tcf(c_168525,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168466,c_73]) ).

tcf(c_168574,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168519,c_70]) ).

tcf(c_168575,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168519,c_71]) ).

tcf(c_168576,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168519,c_72]) ).

tcf(c_168577,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168519,c_73]) ).

tcf(c_168578,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168519,c_76]) ).

tcf(c_168606,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168520,c_70]) ).

tcf(c_168607,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168520,c_71]) ).

tcf(c_168608,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168520,c_72]) ).

tcf(c_168609,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168520,c_73]) ).

tcf(c_168629,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168521,c_70]) ).

tcf(c_168630,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168521,c_71]) ).

tcf(c_168631,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168521,c_72]) ).

tcf(c_168632,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168521,c_73]) ).

tcf(c_168633,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168521,c_76]) ).

tcf(c_168665,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168574,c_72]) ).

tcf(c_168666,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168574,c_73]) ).

tcf(c_168667,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168574,c_76]) ).

tcf(c_168689,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168575,c_73]) ).

tcf(c_168690,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168575,c_76]) ).

tcf(c_168713,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168576,c_76]) ).

tcf(c_168722,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168577,c_76]) ).

tcf(c_168765,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161961]) ).

tcf(c_168766,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161961]) ).

tcf(c_168779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161961]) ).

tcf(c_168780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161961]) ).

tcf(c_168781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161961]) ).

tcf(c_168782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161961]) ).

tcf(c_168783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161961]) ).

tcf(c_168784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161961]) ).

tcf(c_168785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161961]) ).

tcf(c_168786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161961]) ).

tcf(c_168787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,covered,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161961]) ).

tcf(c_168807,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,covered,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_168765,c_195]) ).

tcf(c_168849,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168606,c_72]) ).

tcf(c_168850,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168606,c_73]) ).

tcf(c_168859,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_168607,c_73]) ).

tcf(c_168877,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168629,c_72]) ).

tcf(c_168878,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168629,c_73]) ).

tcf(c_168879,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168629,c_76]) ).

tcf(c_168899,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168630,c_73]) ).

tcf(c_168900,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168630,c_76]) ).

tcf(c_168910,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168631,c_76]) ).

tcf(c_168919,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168632,c_76]) ).

tcf(c_168967,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168665,c_76]) ).

tcf(c_168974,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168666,c_76]) ).

tcf(c_168987,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,covered)) ),
    inference(superposition,[status(thm)],[c_168689,c_76]) ).

tcf(c_169010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161962]) ).

tcf(c_169011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161962]) ).

tcf(c_169024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161962]) ).

tcf(c_169025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161962]) ).

tcf(c_169026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161962]) ).

tcf(c_169027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161962]) ).

tcf(c_169028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161962]) ).

tcf(c_169029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161962]) ).

tcf(c_169030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161962]) ).

tcf(c_169031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161962]) ).

tcf(c_169032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,not_covered,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161962]) ).

tcf(c_169052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,not_covered,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_169010,c_195]) ).

tcf(c_169101,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168877,c_76]) ).

tcf(c_169108,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168878,c_76]) ).

tcf(c_169121,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,removed)) ),
    inference(superposition,[status(thm)],[c_168899,c_76]) ).

tcf(c_169170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161963]) ).

tcf(c_169171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161963]) ).

tcf(c_169184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161963]) ).

tcf(c_169185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161963]) ).

tcf(c_169186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161963]) ).

tcf(c_169187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161963]) ).

tcf(c_169188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161963]) ).

tcf(c_169189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161963]) ).

tcf(c_169190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161963]) ).

tcf(c_169191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161963]) ).

tcf(c_169192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,removed,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161963]) ).

tcf(c_169212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,removed,X4,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_169170,c_195]) ).

tcf(c_169267,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_168467]) ).

tcf(c_169268,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_168467]) ).

tcf(c_169269,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_168467]) ).

tcf(c_169270,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_168467,c_70]) ).

tcf(c_169271,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_168467,c_71]) ).

tcf(c_169272,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_168467,c_72]) ).

tcf(c_169273,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_168467,c_73]) ).

tcf(c_169306,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169267,c_70]) ).

tcf(c_169307,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169267,c_71]) ).

tcf(c_169308,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169267,c_72]) ).

tcf(c_169309,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169267,c_73]) ).

tcf(c_169342,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169268,c_70]) ).

tcf(c_169343,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169268,c_71]) ).

tcf(c_169344,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169268,c_72]) ).

tcf(c_169345,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169268,c_73]) ).

tcf(c_169394,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169269,c_70]) ).

tcf(c_169395,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169269,c_71]) ).

tcf(c_169396,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169269,c_72]) ).

tcf(c_169397,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169269,c_73]) ).

tcf(c_169427,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169306,c_72]) ).

tcf(c_169428,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169306,c_73]) ).

tcf(c_169453,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_169307,c_73]) ).

tcf(c_169471,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169342,c_72]) ).

tcf(c_169472,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169342,c_73]) ).

tcf(c_169491,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_169343,c_73]) ).

tcf(c_169528,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169394,c_72]) ).

tcf(c_169529,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169394,c_73]) ).

tcf(c_169538,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_169395,c_73]) ).

tcf(c_169559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161964]) ).

tcf(c_169560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161964]) ).

tcf(c_169576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161964]) ).

tcf(c_169577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161964]) ).

tcf(c_169578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161964]) ).

tcf(c_169579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161964]) ).

tcf(c_169580,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161964]) ).

tcf(c_169581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,covered,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161964]) ).

tcf(c_169595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,covered,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_169559,c_195]) ).

tcf(c_169694,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_168468]) ).

tcf(c_169695,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_168468]) ).

tcf(c_169696,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_168468]) ).

tcf(c_169697,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_168468,c_70]) ).

tcf(c_169698,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_168468,c_71]) ).

tcf(c_169699,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_168468,c_72]) ).

tcf(c_169700,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_168468,c_73]) ).

tcf(c_169766,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169694,c_70]) ).

tcf(c_169767,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169694,c_71]) ).

tcf(c_169768,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169694,c_72]) ).

tcf(c_169769,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169694,c_73]) ).

tcf(c_169770,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169694,c_76]) ).

tcf(c_169798,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169695,c_70]) ).

tcf(c_169799,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169695,c_71]) ).

tcf(c_169800,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169695,c_72]) ).

tcf(c_169801,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169695,c_73]) ).

tcf(c_169839,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169696,c_70]) ).

tcf(c_169840,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169696,c_71]) ).

tcf(c_169841,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169696,c_72]) ).

tcf(c_169842,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169696,c_73]) ).

tcf(c_169843,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169696,c_76]) ).

tcf(c_169879,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169766,c_72]) ).

tcf(c_169880,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169766,c_73]) ).

tcf(c_169881,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169766,c_76]) ).

tcf(c_169920,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169767,c_73]) ).

tcf(c_169921,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169767,c_76]) ).

tcf(c_169962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161965]) ).

tcf(c_169963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161965]) ).

tcf(c_169979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161965]) ).

tcf(c_169980,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161965]) ).

tcf(c_169981,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161965]) ).

tcf(c_169982,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161965]) ).

tcf(c_169983,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161965]) ).

tcf(c_169984,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,not_covered,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161965]) ).

tcf(c_169998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,not_covered,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_169962,c_195]) ).

tcf(c_170010,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169768,c_76]) ).

tcf(c_170030,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169769,c_76]) ).

tcf(c_170047,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169798,c_72]) ).

tcf(c_170048,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169798,c_73]) ).

tcf(c_170057,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_169799,c_73]) ).

tcf(c_170077,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169839,c_72]) ).

tcf(c_170078,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169839,c_73]) ).

tcf(c_170079,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169839,c_76]) ).

tcf(c_170099,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169840,c_73]) ).

tcf(c_170100,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169840,c_76]) ).

tcf(c_170119,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169841,c_76]) ).

tcf(c_170130,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_169842,c_76]) ).

tcf(c_170172,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169879,c_76]) ).

tcf(c_170179,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169880,c_76]) ).

tcf(c_170192,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,covered)) ),
    inference(superposition,[status(thm)],[c_169920,c_76]) ).

tcf(c_170207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161966]) ).

tcf(c_170208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161966]) ).

tcf(c_170224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,covered,X6)) ),
    inference(superposition,[status(thm)],[c_86,c_161966]) ).

tcf(c_170225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_87,c_161966]) ).

tcf(c_170226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,not_covered,complement(X6)))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,removed,X6)) ),
    inference(superposition,[status(thm)],[c_88,c_161966]) ).

tcf(c_170227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,X6,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161966]) ).

tcf(c_170228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161966]) ).

tcf(c_170229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6),not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,removed,X6,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161966]) ).

tcf(c_170243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5),complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,removed,X5,X6)) ),
    inference(light_normalisation,[status(thm)],[c_170207,c_195]) ).

tcf(c_170291,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_170077,c_76]) ).

tcf(c_170298,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_170078,c_76]) ).

tcf(c_170311,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,removed)) ),
    inference(superposition,[status(thm)],[c_170099,c_76]) ).

tcf(c_170352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161967]) ).

tcf(c_170353,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161967]) ).

tcf(c_170372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161967]) ).

tcf(c_170373,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161967]) ).

tcf(c_170374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161967]) ).

tcf(c_170382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,covered,X6)) ),
    inference(light_normalisation,[status(thm)],[c_170352,c_195]) ).

tcf(c_170411,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_168469,c_70]) ).

tcf(c_170412,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_168469,c_71]) ).

tcf(c_170413,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_168469,c_72]) ).

tcf(c_170414,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_168469,c_73]) ).

tcf(c_170446,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_168470,c_70]) ).

tcf(c_170447,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_168470,c_71]) ).

tcf(c_170448,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_168470,c_72]) ).

tcf(c_170449,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_168470,c_73]) ).

tcf(c_170493,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_168471,c_70]) ).

tcf(c_170494,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_168471,c_71]) ).

tcf(c_170495,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_168471,c_72]) ).

tcf(c_170496,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_168471,c_73]) ).

tcf(c_170525,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168522,c_72]) ).

tcf(c_170526,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168522,c_73]) ).

tcf(c_170538,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,covered,X0)) ),
    inference(superposition,[status(thm)],[c_168523,c_73]) ).

tcf(c_170565,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_169270,c_72]) ).

tcf(c_170566,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_169270,c_73]) ).

tcf(c_170578,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_169271,c_73]) ).

tcf(c_170605,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_169697,c_72]) ).

tcf(c_170606,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_169697,c_73]) ).

tcf(c_170632,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,removed,X0)) ),
    inference(superposition,[status(thm)],[c_169698,c_73]) ).

tcf(c_170661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161968]) ).

tcf(c_170662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161968]) ).

tcf(c_170681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161968]) ).

tcf(c_170682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered,covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161968]) ).

tcf(c_170683,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161968]) ).

tcf(c_170691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,not_covered,X6)) ),
    inference(light_normalisation,[status(thm)],[c_170661,c_195]) ).

tcf(c_170736,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_170411,c_72]) ).

tcf(c_170737,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_170411,c_73]) ).

tcf(c_170749,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,covered)) ),
    inference(superposition,[status(thm)],[c_170412,c_73]) ).

tcf(c_170776,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_170446,c_72]) ).

tcf(c_170777,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_170446,c_73]) ).

tcf(c_170789,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_170447,c_73]) ).

tcf(c_170816,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_170493,c_72]) ).

tcf(c_170817,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_170493,c_73]) ).

tcf(c_170829,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,not_covered,X0,removed)) ),
    inference(superposition,[status(thm)],[c_170494,c_73]) ).

tcf(c_170873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_84,c_161969]) ).

tcf(c_170874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(superposition,[status(thm)],[c_85,c_161969]) ).

tcf(c_170893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,removed,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_161969]) ).

tcf(c_170894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,removed,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_161969]) ).

tcf(c_170895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(successor(X0)),squares(complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered,not_covered))
      | ~ achievable(row(X0),squares(X1,X2,X3,X4,X5,X6,removed,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_161969]) ).

tcf(c_170903,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered,complement(X6)))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,removed,X6)) ),
    inference(light_normalisation,[status(thm)],[c_170873,c_195]) ).

tcf(c_171040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_84,c_161970]) ).

tcf(c_171041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(superposition,[status(thm)],[c_85,c_161970]) ).

tcf(c_171064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,covered)) ),
    inference(light_normalisation,[status(thm)],[c_171040,c_195]) ).

tcf(c_171081,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_86,c_162748]) ).

tcf(c_171082,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_87,c_162748]) ).

tcf(c_171083,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,removed,X0)) ),
    inference(superposition,[status(thm)],[c_88,c_162748]) ).

tcf(c_171084,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162748]) ).

tcf(c_171085,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162748]) ).

tcf(c_171086,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0),not_covered))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162748]) ).

tcf(c_171087,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162748,c_70]) ).

tcf(c_171088,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162748,c_71]) ).

tcf(c_171089,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162748,c_72]) ).

tcf(c_171090,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162748,c_73]) ).

tcf(c_171091,plain,
    ! [X0: $i,X1: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0),complement(X1)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,X0,X1)) ),
    inference(superposition,[status(thm)],[c_162748,c_74]) ).

tcf(c_171237,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_171081]) ).

tcf(c_171238,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_171081]) ).

tcf(c_171239,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_171081]) ).

tcf(c_171240,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_70]) ).

tcf(c_171241,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_71]) ).

tcf(c_171242,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_72]) ).

tcf(c_171243,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_73]) ).

tcf(c_171244,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_74]) ).

tcf(c_171245,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,X0)) ),
    inference(superposition,[status(thm)],[c_171081,c_75]) ).

tcf(c_171268,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_70]) ).

tcf(c_171269,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_71]) ).

tcf(c_171270,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_72]) ).

tcf(c_171271,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_73]) ).

tcf(c_171272,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_74]) ).

tcf(c_171273,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_75]) ).

tcf(c_171274,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171237,c_76]) ).

tcf(c_171379,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_70]) ).

tcf(c_171380,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_71]) ).

tcf(c_171381,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_72]) ).

tcf(c_171382,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_73]) ).

tcf(c_171383,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_74]) ).

tcf(c_171384,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171238,c_75]) ).

tcf(c_171412,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_70]) ).

tcf(c_171413,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_71]) ).

tcf(c_171414,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_72]) ).

tcf(c_171415,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_73]) ).

tcf(c_171416,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_74]) ).

tcf(c_171417,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_75]) ).

tcf(c_171418,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171239,c_76]) ).

tcf(c_171474,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171268,c_72]) ).

tcf(c_171475,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171268,c_73]) ).

tcf(c_171476,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171268,c_74]) ).

tcf(c_171477,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171268,c_75]) ).

tcf(c_171478,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171268,c_76]) ).

tcf(c_171533,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171269,c_73]) ).

tcf(c_171534,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171269,c_74]) ).

tcf(c_171535,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171269,c_75]) ).

tcf(c_171536,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171269,c_76]) ).

tcf(c_171550,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171270,c_74]) ).

tcf(c_171551,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171270,c_75]) ).

tcf(c_171552,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171270,c_76]) ).

tcf(c_171570,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171271,c_75]) ).

tcf(c_171571,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171271,c_76]) ).

tcf(c_171583,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171272,c_76]) ).

tcf(c_171612,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171379,c_72]) ).

tcf(c_171613,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171379,c_73]) ).

tcf(c_171614,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171379,c_74]) ).

tcf(c_171615,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171379,c_75]) ).

tcf(c_171628,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171380,c_73]) ).

tcf(c_171629,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171380,c_74]) ).

tcf(c_171630,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171380,c_75]) ).

tcf(c_171647,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171381,c_74]) ).

tcf(c_171648,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171381,c_75]) ).

tcf(c_171659,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171382,c_75]) ).

tcf(c_171690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_84,c_161971]) ).

tcf(c_171691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(superposition,[status(thm)],[c_85,c_161971]) ).

tcf(c_171714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,not_covered)) ),
    inference(light_normalisation,[status(thm)],[c_171690,c_195]) ).

tcf(c_171736,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171412,c_72]) ).

tcf(c_171737,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171412,c_73]) ).

tcf(c_171738,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171412,c_74]) ).

tcf(c_171739,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171412,c_75]) ).

tcf(c_171740,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171412,c_76]) ).

tcf(c_171760,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171413,c_73]) ).

tcf(c_171761,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171413,c_74]) ).

tcf(c_171762,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171413,c_75]) ).

tcf(c_171763,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171413,c_76]) ).

tcf(c_171781,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171414,c_74]) ).

tcf(c_171782,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171414,c_75]) ).

tcf(c_171783,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171414,c_76]) ).

tcf(c_171796,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171415,c_75]) ).

tcf(c_171797,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171415,c_76]) ).

tcf(c_171815,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171416,c_76]) ).

tcf(c_171843,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171474,c_74]) ).

tcf(c_171844,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171474,c_75]) ).

tcf(c_171845,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171474,c_76]) ).

tcf(c_171856,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171475,c_75]) ).

tcf(c_171857,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171475,c_76]) ).

tcf(c_171902,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171476,c_76]) ).

tcf(c_171933,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171533,c_75]) ).

tcf(c_171934,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171533,c_76]) ).

tcf(c_171991,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171534,c_76]) ).

tcf(c_172004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n8),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_84,c_161972]) ).

tcf(c_172005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(row(n9),squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n8),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(superposition,[status(thm)],[c_85,c_161972]) ).

tcf(c_172028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( achievable(iPr_def_10,squares(complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),complement(X6),not_covered))
      | ~ achievable(row(n7),squares(X0,X1,X2,X3,X4,X5,X6,removed)) ),
    inference(light_normalisation,[status(thm)],[c_172004,c_195]) ).

tcf(c_172052,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171550,c_76]) ).

tcf(c_172089,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171612,c_74]) ).

tcf(c_172090,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171612,c_75]) ).

tcf(c_172099,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171613,c_75]) ).

tcf(c_172132,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_171628,c_75]) ).

tcf(c_172192,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,not_covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171736,c_74]) ).

tcf(c_172193,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171736,c_75]) ).

tcf(c_172194,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171736,c_76]) ).

tcf(c_172205,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171737,c_75]) ).

tcf(c_172206,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171737,c_76]) ).

tcf(c_173219,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171738,c_76]) ).

tcf(c_173239,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171760,c_75]) ).

tcf(c_173240,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171760,c_76]) ).

tcf(c_173249,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171761,c_76]) ).

tcf(c_173274,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_171781,c_76]) ).

tcf(c_173310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,not_covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173312,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,removed,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173313,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,not_covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,removed,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,not_covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,removed,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,not_covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173321,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,removed,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,not_covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,removed,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,covered,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,not_covered,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,removed,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,X5,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162069]) ).

tcf(c_173329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,X5,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162069]) ).

tcf(c_173330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(not_covered,X0,X1,X2,X3,X4,X5,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162069]) ).

tcf(c_173431,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(superposition,[status(thm)],[c_171843,c_76]) ).

tcf(c_173432,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,covered)) ),
    inference(light_normalisation,[status(thm)],[c_173431,c_196]) ).

tcf(c_173498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,not_covered,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,removed,X0,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,not_covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,removed,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,not_covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,removed,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,not_covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,removed,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,not_covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,removed,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,covered,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,not_covered,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,removed,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,X5,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162070]) ).

tcf(c_173517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,X5,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162070]) ).

tcf(c_173518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(not_covered,complement(X0),complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(removed,X0,X1,X2,X3,X4,X5,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162070]) ).

tcf(c_173597,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(superposition,[status(thm)],[c_172192,c_76]) ).

tcf(c_173598,plain,
    ( achievable(row(n9),iPr_def_11)
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,covered,removed)) ),
    inference(light_normalisation,[status(thm)],[c_173597,c_196]) ).

tcf(c_173648,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_171082]) ).

tcf(c_173649,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_171082]) ).

tcf(c_173650,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_171082]) ).

tcf(c_173651,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_171082,c_70]) ).

tcf(c_173652,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_171082,c_71]) ).

tcf(c_173653,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_171082,c_72]) ).

tcf(c_173654,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_171082,c_73]) ).

tcf(c_173655,plain,
    ! [X0: $i] :
      ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,complement(X0)))
      | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,X0)) ),
    inference(superposition,[status(thm)],[c_171082,c_74]) ).

tcf(c_173688,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173648,c_70]) ).

tcf(c_173689,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173648,c_71]) ).

tcf(c_173690,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173648,c_72]) ).

tcf(c_173691,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173648,c_73]) ).

tcf(c_173692,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173648,c_74]) ).

tcf(c_173726,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_173649,c_70]) ).

tcf(c_173727,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_173649,c_71]) ).

tcf(c_173728,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_173649,c_72]) ).

tcf(c_173729,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_173649,c_73]) ).

tcf(c_173730,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,not_covered)) ),
    inference(superposition,[status(thm)],[c_173649,c_74]) ).

tcf(c_173779,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_173650,c_70]) ).

tcf(c_173780,plain,
    ( achievable(row(n9),squares(not_covered,covered,covered,not_covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_173650,c_71]) ).

tcf(c_173781,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_173650,c_72]) ).

tcf(c_173782,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_173650,c_73]) ).

tcf(c_173783,plain,
    ( achievable(row(n9),squares(not_covered,not_covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,removed)) ),
    inference(superposition,[status(thm)],[c_173650,c_74]) ).

tcf(c_173810,plain,
    ( achievable(row(n9),squares(covered,covered,covered,covered,not_covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173688,c_72]) ).

tcf(c_173811,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,covered,covered,not_covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173688,c_73]) ).

tcf(c_173812,plain,
    ( achievable(row(n9),squares(covered,covered,not_covered,not_covered,covered,covered,covered,not_covered))
    | ~ achievable(iPr_def_10,squares(covered,covered,covered,covered,covered,removed,not_covered,covered)) ),
    inference(superposition,[status(thm)],[c_173688,c_74]) ).

tcf(c_173826,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173827,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,not_covered,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173828,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,removed,X1,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173830,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,not_covered,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),not_covered,complement(X2),complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,removed,X2,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173832,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173833,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,not_covered,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173834,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),not_covered,complement(X3),complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,removed,X3,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173835,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173836,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,not_covered,X4,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),not_covered,complement(X4),complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,removed,X4,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173838,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,covered,X5)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173839,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,not_covered,X5)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173840,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),not_covered,complement(X5)))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,removed,X5)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,X5,covered)) ),
    inference(superposition,[status(thm)],[c_86,c_162071]) ).

tcf(c_173842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),covered))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,X5,not_covered)) ),
    inference(superposition,[status(thm)],[c_87,c_162071]) ).

tcf(c_173843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( achievable(row(n9),squares(complement(X0),not_covered,complement(X1),complement(X2),complement(X3),complement(X4),complement(X5),not_covered))
      | ~ achievable(iPr_def_10,squares(X0,covered,X1,X2,X3,X4,X5,removed)) ),
    inference(superposition,[status(thm)],[c_88,c_162071]) ).

tcf(c_173943,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_173843,c_173842,c_173841,c_173840,c_173839,c_173838,c_173837,c_173836,c_173835,c_173834,c_173833,c_173832,c_173831,c_173830,c_173829,c_173828,c_173827,c_173826,c_173812,c_173811,c_173810,c_173783,c_173782,c_173781,c_173780,c_173779,c_173730,c_173729,c_173728,c_173727,c_173726,c_173692,c_173691,c_173690,c_173689,c_173688,c_173655,c_173654,c_173653,c_173652,c_173651,c_173650,c_173649,c_173648,c_173598,c_173597,c_173518,c_173517,c_173516,c_173515,c_173514,c_173513,c_173512,c_173511,c_173510,c_173509,c_173508,c_173507,c_173506,c_173505,c_173504,c_173503,c_173502,c_173501,c_173500,c_173499,c_173498,c_173432,c_173431,c_173330,c_173329,c_173328,c_173327,c_173326,c_173325,c_173324,c_173323,c_173322,c_173321,c_173320,c_173319,c_173318,c_173317,c_173316,c_173315,c_173314,c_173313,c_173312,c_173311,c_173310,c_173274,c_173249,c_173240,c_173239,c_173219,c_172206,c_172205,c_172194,c_172193,c_172192,c_172132,c_172099,c_172090,c_172089,c_172052,c_172028,c_172005,c_172004,c_171991,c_171934,c_171933,c_171902,c_171857,c_171856,c_171845,c_171844,c_171843,c_171815,c_171797,c_171796,c_171783,c_171782,c_171781,c_171763,c_171762,c_171761,c_171760,c_171740,c_171739,c_171738,c_171737,c_171736,c_171714,c_171691,c_171690,c_171659,c_171648,c_171647,c_171630,c_171629,c_171628,c_171615,c_171614,c_171613,c_171612,c_171583,c_171571,c_171570,c_171552,c_171551,c_171550,c_171536,c_171535,c_171534,c_171533,c_171478,c_171477,c_171476,c_171475,c_171474,c_171418,c_171417,c_171416,c_171415,c_171414,c_171413,c_171412,c_171384,c_171383,c_171382,c_171381,c_171380,c_171379,c_171274,c_171273,c_171272,c_171271,c_171270,c_171269,c_171268,c_171245,c_171244,c_171243,c_171242,c_171241,c_171240,c_171239,c_171238,c_171237,c_171091,c_171090,c_171089,c_171088,c_171087,c_171086,c_171085,c_171084,c_171083,c_171082,c_171081,c_171064,c_171041,c_171040,c_170903,c_170895,c_170894,c_170893,c_170874,c_170873,c_170829,c_170817,c_170816,c_170789,c_170777,c_170776,c_170749,c_170737,c_170736,c_170691,c_170683,c_170682,c_170681,c_170662,c_170661,c_170632,c_170606,c_170605,c_170578,c_170566,c_170565,c_170538,c_170526,c_170525,c_170496,c_170495,c_170494,c_170493,c_170449,c_170448,c_170447,c_170446,c_170414,c_170413,c_170412,c_170411,c_170382,c_170374,c_170373,c_170372,c_170353,c_170352,c_170311,c_170298,c_170291,c_170243,c_170229,c_170228,c_170227,c_170226,c_170225,c_170224,c_170208,c_170207,c_170192,c_170179,c_170172,c_170130,c_170119,c_170100,c_170099,c_170079,c_170078,c_170077,c_170057,c_170048,c_170047,c_170030,c_170010,c_169998,c_169984,c_169983,c_169982,c_169981,c_169980,c_169979,c_169963,c_169962,c_169921,c_169920,c_169881,c_169880,c_169879,c_169843,c_169842,c_169841,c_169840,c_169839,c_169801,c_169800,c_169799,c_169798,c_169770,c_169769,c_169768,c_169767,c_169766,c_169700,c_169699,c_169698,c_169697,c_169696,c_169695,c_169694,c_169595,c_169581,c_169580,c_169579,c_169578,c_169577,c_169576,c_169560,c_169559,c_169538,c_169529,c_169528,c_169491,c_169472,c_169471,c_169453,c_169428,c_169427,c_169397,c_169396,c_169395,c_169394,c_169345,c_169344,c_169343,c_169342,c_169309,c_169308,c_169307,c_169306,c_169273,c_169272,c_169271,c_169270,c_169269,c_169268,c_169267,c_169212,c_169192,c_169191,c_169190,c_169189,c_169188,c_169187,c_169186,c_169185,c_169184,c_169171,c_169170,c_169121,c_169108,c_169101,c_169052,c_169032,c_169031,c_169030,c_169029,c_169028,c_169027,c_169026,c_169025,c_169024,c_169011,c_169010,c_168987,c_168974,c_168967,c_168919,c_168910,c_168900,c_168899,c_168879,c_168878,c_168877,c_168859,c_168850,c_168849,c_168807,c_168787,c_168786,c_168785,c_168784,c_168783,c_168782,c_168781,c_168780,c_168779,c_168766,c_168765,c_168722,c_168713,c_168690,c_168689,c_168667,c_168666,c_168665,c_168633,c_168632,c_168631,c_168630,c_168629,c_168609,c_168608,c_168607,c_168606,c_168578,c_168577,c_168576,c_168575,c_168574,c_168525,c_168524,c_168523,c_168522,c_168521,c_168520,c_168519,c_168475,c_168474,c_168473,c_168472,c_168471,c_168470,c_168469,c_168468,c_168467,c_168466,c_168358,c_168332,c_168331,c_168330,c_168329,c_168328,c_168327,c_168326,c_168325,c_168324,c_168323,c_168322,c_168321,c_168311,c_168310,c_168292,c_168289,c_168284,c_168281,c_168276,c_168273,c_168268,c_168265,c_168216,c_168127,c_168101,c_168100,c_168099,c_168098,c_168097,c_168096,c_168095,c_168094,c_168093,c_168092,c_168091,c_168090,c_168080,c_168079,c_168066,c_168019,c_167969,c_167933,c_167906,c_167880,c_167879,c_167878,c_167877,c_167876,c_167875,c_167874,c_167873,c_167872,c_167871,c_167870,c_167869,c_167859,c_167858,c_167843,c_167842,c_167795,c_167787,c_167782,c_167777,c_167773,c_167768,c_167764,c_167759,c_167755,c_167750,c_167747,c_167740,c_167739,c_167736,c_167731,c_167726,c_167717,c_167713,c_167706,c_167705,c_167702,c_167630,c_167598,c_167597,c_167596,c_167595,c_167594,c_167593,c_167592,c_167591,c_167590,c_167589,c_167588,c_167587,c_167586,c_167585,c_167584,c_167577,c_167576,c_167561,c_167560,c_167559,c_167556,c_167525,c_167512,c_167511,c_167497,c_167496,c_167495,c_167455,c_167425,c_167424,c_167404,c_167403,c_167402,c_167362,c_167340,c_167339,c_167321,c_167320,c_167319,c_167226,c_167194,c_167193,c_167192,c_167191,c_167190,c_167189,c_167188,c_167187,c_167186,c_167185,c_167184,c_167183,c_167182,c_167181,c_167180,c_167173,c_167172,c_167138,c_167120,c_167119,c_167100,c_167099,c_167098,c_167082,c_167081,c_167080,c_167079,c_167046,c_167033,c_167032,c_167014,c_167013,c_167012,c_167004,c_166997,c_166992,c_166986,c_166979,c_166978,c_166973,c_166960,c_166959,c_166958,c_166954,c_166943,c_166942,c_166941,c_166940,c_166937,c_166904,c_166872,c_166871,c_166870,c_166869,c_166868,c_166867,c_166866,c_166865,c_166864,c_166863,c_166862,c_166861,c_166860,c_166859,c_166858,c_166851,c_166850,c_166831,c_166830,c_166829,c_166828,c_166827,c_166824,c_166809,c_166808,c_166807,c_166806,c_166805,c_166700,c_166699,c_166698,c_166697,c_166696,c_166669,c_166668,c_166667,c_166666,c_166665,c_166606,c_166605,c_166505,c_166467,c_166466,c_166465,c_166464,c_166463,c_166462,c_166461,c_166460,c_166459,c_166458,c_166457,c_166456,c_166455,c_166454,c_166453,c_166452,c_166451,c_166450,c_166446,c_166445,c_166377,c_166376,c_166329,c_166291,c_166290,c_166289,c_166288,c_166287,c_166286,c_166285,c_166284,c_166283,c_166282,c_166281,c_166280,c_166279,c_166278,c_166277,c_166276,c_166275,c_166274,c_166270,c_166269,c_166239,c_166206,c_166197,c_166196,c_166166,c_166156,c_166155,c_166144,c_166143,c_166142,c_166006,c_165968,c_165967,c_165966,c_165965,c_165964,c_165963,c_165962,c_165961,c_165960,c_165959,c_165958,c_165957,c_165956,c_165955,c_165954,c_165953,c_165952,c_165951,c_165947,c_165946,c_165924,c_165893,c_165872,c_165871,c_165829,c_165805,c_165753,c_165709,c_165708,c_165707,c_165706,c_165705,c_165704,c_165703,c_165702,c_165701,c_165700,c_165699,c_165698,c_165697,c_165696,c_165695,c_165694,c_165693,c_165692,c_165691,c_165690,c_165689,c_165688,c_165687,c_165672,c_165671,c_165646,c_165631,c_165630,c_165619,c_165618,c_165617,c_165584,c_165572,c_165571,c_165558,c_165557,c_165556,c_165478,c_165477,c_165476,c_165475,c_165456,c_165455,c_165454,c_165453,c_165452,c_165430,c_165350,c_165306,c_165305,c_165304,c_165303,c_165302,c_165301,c_165300,c_165299,c_165298,c_165297,c_165296,c_165295,c_165294,c_165293,c_165292,c_165291,c_165290,c_165289,c_165288,c_165287,c_165286,c_165285,c_165284,c_165265,c_165264,c_165248,c_165247,c_165246,c_165233,c_165232,c_165231,c_165230,c_165202,c_165190,c_165189,c_165164,c_165163,c_165162,c_165144,c_165143,c_165142,c_165141,c_165121,c_165120,c_165119,c_165118,c_165117,c_165068,c_165067,c_165066,c_165065,c_165064,c_165063,c_165062,c_165020,c_165019,c_165018,c_165017,c_165016,c_165015,c_164988,c_164987,c_164986,c_164985,c_164984,c_164983,c_164982,c_164955,c_164954,c_164953,c_164952,c_164951,c_164950,c_164949,c_164948,c_164947,c_164845,c_164801,c_164800,c_164799,c_164798,c_164797,c_164796,c_164795,c_164794,c_164793,c_164792,c_164791,c_164790,c_164789,c_164788,c_164787,c_164786,c_164785,c_164784,c_164783,c_164782,c_164781,c_164780,c_164779,c_164744,c_164696,c_164695,c_164517,c_164516,c_164515,c_164514,c_164513,c_164512,c_164511,c_164510,c_164509,c_164508,c_164507,c_164506,c_164505,c_164504,c_164503,c_164502,c_164501,c_164500,c_164499,c_164498,c_164497,c_164496,c_164495,c_164494,c_164474,c_164450,c_164440,c_164439,c_164426,c_164425,c_164424,c_164385,c_164373,c_164372,c_164361,c_164360,c_164359,c_164337,c_164244,c_164243,c_164242,c_164241,c_164240,c_164239,c_164238,c_164237,c_164236,c_164235,c_164234,c_164233,c_164232,c_164231,c_164230,c_164229,c_164228,c_164227,c_164226,c_164225,c_164224,c_164223,c_164222,c_164221,c_164209,c_164208,c_164108,c_164107,c_164106,c_164072,c_164071,c_164070,c_164069,c_164068,c_164044,c_164043,c_164042,c_164041,c_164040,c_164015,c_164014,c_164013,c_164012,c_164011,c_163972,c_163971,c_163970,c_163969,c_163968,c_163967,c_163966,c_163965,c_163804,c_163803,c_163802,c_163801,c_163800,c_163799,c_163798,c_163797,c_163796,c_163795,c_163794,c_163793,c_163792,c_163791,c_163790,c_163789,c_163788,c_163787,c_163786,c_163785,c_163784,c_163783,c_163782,c_163781,c_163774,c_163773,c_163714,c_163683,c_163674,c_163673,c_163565,c_163564,c_163563,c_163562,c_163561,c_163560,c_163559,c_163558,c_163557,c_163556,c_163555,c_163554,c_163553,c_163552,c_163551,c_163550,c_163549,c_163548,c_163547,c_163546,c_163545,c_163544,c_163543,c_163542,c_163529,c_163514,c_163513,c_163502,c_163501,c_163500,c_163464,c_163446,c_163437,c_163436,c_163204,c_163203,c_163202,c_163201,c_163200,c_163199,c_163198,c_163197,c_163196,c_163195,c_163194,c_163193,c_163192,c_163191,c_163190,c_163189,c_163188,c_163187,c_163186,c_163185,c_163184,c_163183,c_163182,c_163181,c_163166,c_163154,c_163153,c_163108,c_163107,c_163106,c_163088,c_163087,c_163086,c_163085,c_163068,c_163067,c_163066,c_163065,c_163064,c_163040,c_163029,c_163028,c_163014,c_163013,c_163012,c_162997,c_162996,c_162995,c_162994,c_162955,c_162954,c_162953,c_162952,c_162951,c_162950,c_162949,c_162928,c_162927,c_162926,c_162925,c_162924,c_162923,c_162887,c_162882,c_162881,c_162880,c_162879,c_162878,c_162877,c_162876,c_162875,c_162874,c_162811,c_162810,c_162809,c_162808,c_162807,c_162806,c_162805,c_162804,c_162803,c_162802,c_162801,c_162758,c_162757,c_162756,c_162755,c_162754,c_162753,c_162752,c_162751,c_162750,c_162749,c_162748,c_162747,c_162746,c_162674,c_162673,c_162672,c_162671,c_162670,c_162669,c_162668,c_162667,c_162666,c_162665,c_162664,c_162663,c_162662,c_162661,c_162660,c_162659,c_162658,c_162657,c_162656,c_162655,c_162654,c_162653,c_162652,c_162651,c_162506,c_162505,c_162504,c_162503,c_162502,c_162501,c_162500,c_162499,c_162498,c_162497,c_162496,c_162495,c_162494,c_162493,c_162492,c_162407,c_162406,c_162405,c_162404,c_162403,c_162402,c_162401,c_162400,c_162399,c_162398,c_162397,c_162396,c_162395,c_162394,c_162393,c_162392,c_162391,c_162282,c_162281,c_162280,c_162279,c_162278,c_162277,c_162276,c_162275,c_162274,c_162273,c_162272,c_162271,c_162270,c_162269,c_162268,c_162267,c_162266,c_162265,c_162264,c_162181,c_162180,c_162179,c_162178,c_162177,c_162176,c_162175,c_162174,c_162173,c_162172,c_162171,c_162170,c_162169,c_162168,c_162167,c_162166,c_162165,c_162164,c_162163,c_162162,c_162161,c_162091,c_162090,c_162089,c_162088,c_162087,c_162086,c_162085,c_162084,c_162083,c_162082,c_162081,c_162080,c_162079,c_162078,c_162077,c_162076,c_162075,c_162074,c_162073,c_162072,c_162071,c_162070,c_162069,c_162068,c_162024,c_162021,c_161972,c_161971,c_161970,c_161969,c_161968,c_161967,c_161966,c_161965,c_161964,c_161963,c_161962,c_161961,c_161960,c_161959,c_161958,c_161957,c_161956,c_161955,c_161954,c_161953,c_161952,c_161951,c_161950,c_161949,c_161948,c_161947,c_161946,c_161945,c_161944,c_161943,c_161942,c_161941,c_161934,c_161933,c_161932,c_161931,c_161930,c_161923,c_161922,c_161921,c_161920,c_161913,c_161912,c_161911,c_161900,c_161899,c_161898,c_161887,c_161886,c_161875,c_161874,c_161863,c_161862,c_197,c_196,c_195,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.38  % Computer : n020.cluster.edu
% 0.10/10.38  % Model    : x86_64 x86_64
% 0.10/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38  % Memory   : 8046.5625MB
% 0.10/10.38  % OS       : Linux 6.8.0-71-generic
% 0.10/10.38  % CPULimit : 300
% 0.10/10.38  % WCLimit  : 300
% 0.10/10.38  % DateTime : Thu Sep 24 06:39:44 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.10/10.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.42  Running first-order theorem proving
% 0.15/10.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.43  
% 0.15/10.43  % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.43  
% 0.15/10.43  % Detected problem language: tptp
% 0.15/10.45  % Proving...
% 46.87/21.93  % SZS status Started for theBenchmark.p
% 46.87/21.93  ERROR - "ProverProcess:heur/379306:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Z3.Error("Sort mismatch at argument #1 for function (declare-fun f_96 (s_0) s_0) supplied sort is s_115")
% 46.87/21.93  Fatal error: exception Z3.Error("Sort mismatch at argument #1 for function (declare-fun f_96 (s_0) s_0) supplied sort is s_115")
% 46.87/21.93  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground false --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;ACNormalisation]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;Demod;LightNorm;ACNormalisation]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_bw "[SubsumptionRes]" --sup_input_fw "[SMTSubs;]" --sup_input_triv "[]" --sup_iter_deepening 1 --sup_passive_queue_type priority_queues --sup_passive_queues "[[+min_def_symb;-score;+epr];[-next_state;-conj_dist;+conj_symb]]" --sup_passive_queues_freq "[3;512]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 16 --sup_score sim_d_gen --sup_share_max_num_cl 320 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering arity_rev --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_cbcw5396/7p6wc5r0 2>> /export/starexec/sandbox/tmp/iprover_out_cbcw5396/7p6wc5r0_error
% 46.87/21.93  % SZS status Unsatisfiable for theBenchmark.p
% 46.87/21.93  
% 46.87/21.93  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 46.87/21.93  
% 46.87/21.93  % ------  iProver source info
% 46.87/21.93  
% 46.87/21.93  % git: date: 2026-07-19 20:42:38 +0200
% 46.87/21.93  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 46.87/21.93  % git: non_committed_changes: false
% 46.87/21.93  
% 46.87/21.93  % ------ Parsing...% successful
% 46.87/21.93  
% 46.87/21.93  
% 46.87/21.93  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 46.87/21.93  
% 46.87/21.93  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 46.87/21.93  
% 46.87/21.93  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 46.87/21.93  
% 46.87/21.93  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 46.87/21.93  % ------ Proving...
% 46.87/21.93  % ------ Problem Properties 
% 46.87/21.93  
% 46.87/21.93  % 
% 46.87/21.93  % clauses                               23
% 46.87/21.93  % conjectures                           1
% 46.87/21.93  % EPR                                   1
% 46.87/21.93  % Horn                                  23
% 46.87/21.93  % unary                                 15
% 46.87/21.93  % binary                                8
% 46.87/21.93  % lits                                  31
% 46.87/21.93  % lits eq                               13
% 46.87/21.93  % fd_pure                               0
% 46.87/21.93  % fd_pseudo                             0
% 46.87/21.93  % fd_cond                               0
% 46.87/21.93  % fd_pseudo_cond                        0
% 46.87/21.93  % AC symbols                            0
% 46.87/21.93  
% 46.87/21.93  % ------ Schedule dynamic 5 is on 
% 46.87/21.93  
% 46.87/21.93  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.87/21.93  
% 46.87/21.93  
% 46.87/21.93  % ------ 
% 46.87/21.93  % Current options:
% 46.87/21.93  % ------ 
% 46.87/21.93  
% 46.87/21.93  
% 46.87/21.93  % 
% 46.87/21.93  
% 46.87/21.93  % ------ Proving...
% 46.87/21.93  % Proof_search_loop: time out after: 13909 full_loop iterations
% 46.87/21.93  
% 46.87/21.93  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 46.87/21.93  
% 46.87/21.93  
% 46.87/21.93  % ------ 
% 46.87/21.93  % Current options:
% 46.87/21.93  % ------ 
% 46.87/21.93  
% 46.87/21.93  
% 46.87/21.93  % 
% 46.87/21.93  
% 46.87/21.93  % ------ Proving...
% 46.87/21.93  % 
% 46.87/21.93  
% 46.87/21.93  % SZS status Unsatisfiable for theBenchmark.p
% 46.87/21.93  
% 46.87/21.93  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.87/21.97  
% 46.87/21.97  
%------------------------------------------------------------------------------