%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYO525+1.015 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 15:29:33 EDT 2022

% Result   : Theorem 9.17s 2.65s
% Output   : CNFRefutation 9.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  139
%            Number of leaves      :   18
% Syntax   : Number of clauses     :  612 ( 142 unt;   0 nHn; 612 RR)
%            Number of literals    : 1082 (   0 equ; 609 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-27 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   : 8859 (1668 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( goal
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_2) ).

cnf(i_0_30,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_30) ).

cnf(i_0_3,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_3) ).

cnf(i_0_4,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_4) ).

cnf(i_0_5,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_5) ).

cnf(i_0_6,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_6) ).

cnf(i_0_7,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_7) ).

cnf(i_0_8,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_8) ).

cnf(i_0_9,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_9) ).

cnf(i_0_10,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_10) ).

cnf(i_0_11,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_11) ).

cnf(i_0_12,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_13) ).

cnf(i_0_14,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_14) ).

cnf(i_0_15,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_15) ).

cnf(i_0_16,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_16) ).

cnf(i_0_17,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_17) ).

cnf(i_0_1,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvr027z/input.p',i_0_1) ).

cnf(c_0_49,plain,
    ( goal
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_2 ).

cnf(c_0_50,negated_conjecture,
    ~ goal,
    i_0_30 ).

cnf(c_0_51,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference(sr,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0) ),
    i_0_3 ).

cnf(c_0_53,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,n1) ),
    i_0_4 ).

cnf(c_0_55,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n1) ),
    i_0_5 ).

cnf(c_0_57,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_55,c_0_52]) ).

cnf(c_0_58,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_52]) ).

cnf(c_0_59,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n1) ),
    i_0_6 ).

cnf(c_0_60,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_52]) ).

cnf(c_0_62,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n1) ),
    i_0_7 ).

cnf(c_0_63,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_60,c_0_54]) ).

cnf(c_0_64,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_54]) ).

cnf(c_0_65,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_52]) ).

cnf(c_0_66,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n1) ),
    i_0_8 ).

cnf(c_0_67,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_63,c_0_52]) ).

cnf(c_0_68,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_52]) ).

cnf(c_0_69,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_54]) ).

cnf(c_0_70,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_52]) ).

cnf(c_0_71,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n1) ),
    i_0_9 ).

cnf(c_0_72,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_52]) ).

cnf(c_0_74,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_54]) ).

cnf(c_0_75,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_71,c_0_52]) ).

cnf(c_0_76,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_10 ).

cnf(c_0_77,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_72,c_0_58]) ).

cnf(c_0_78,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_58]) ).

cnf(c_0_79,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_52]) ).

cnf(c_0_80,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_54]) ).

cnf(c_0_81,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_52]) ).

cnf(c_0_82,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_11 ).

cnf(c_0_83,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_77,c_0_54]) ).

cnf(c_0_84,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_54]) ).

cnf(c_0_85,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_58]) ).

cnf(c_0_86,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_52]) ).

cnf(c_0_87,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_54]) ).

cnf(c_0_88,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_52]) ).

cnf(c_0_89,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_12 ).

cnf(c_0_90,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_83,c_0_52]) ).

cnf(c_0_91,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_52]) ).

cnf(c_0_92,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_54]) ).

cnf(c_0_93,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_58]) ).

cnf(c_0_94,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_52]) ).

cnf(c_0_95,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_54]) ).

cnf(c_0_96,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_52]) ).

cnf(c_0_97,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_13 ).

cnf(c_0_98,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_99,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_52]) ).

cnf(c_0_100,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_54]) ).

cnf(c_0_101,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_58]) ).

cnf(c_0_102,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_52]) ).

cnf(c_0_103,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_54]) ).

cnf(c_0_104,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_97,c_0_52]) ).

cnf(c_0_105,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_14 ).

cnf(c_0_106,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_98,c_0_68]) ).

cnf(c_0_107,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_68]) ).

cnf(c_0_108,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_52]) ).

cnf(c_0_109,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_54]) ).

cnf(c_0_110,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_58]) ).

cnf(c_0_111,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_52]) ).

cnf(c_0_112,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_54]) ).

cnf(c_0_113,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_52]) ).

cnf(c_0_114,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_15 ).

cnf(c_0_115,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_106,c_0_58]) ).

cnf(c_0_116,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_58]) ).

cnf(c_0_117,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_68]) ).

cnf(c_0_118,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_52]) ).

cnf(c_0_119,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_54]) ).

cnf(c_0_120,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_58]) ).

cnf(c_0_121,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_52]) ).

cnf(c_0_122,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_54]) ).

cnf(c_0_123,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_52]) ).

cnf(c_0_124,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_16 ).

cnf(c_0_125,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_115,c_0_54]) ).

cnf(c_0_126,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_54]) ).

cnf(c_0_127,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_58]) ).

cnf(c_0_128,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_68]) ).

cnf(c_0_129,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_52]) ).

cnf(c_0_130,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_54]) ).

cnf(c_0_131,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_58]) ).

cnf(c_0_132,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_52]) ).

cnf(c_0_133,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_54]) ).

cnf(c_0_134,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_52]) ).

cnf(c_0_135,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_125,c_0_52]) ).

cnf(c_0_136,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_52]) ).

cnf(c_0_137,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_54]) ).

cnf(c_0_138,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_58]) ).

cnf(c_0_139,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_68]) ).

cnf(c_0_140,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_52]) ).

cnf(c_0_141,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_54]) ).

cnf(c_0_142,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_58]) ).

cnf(c_0_143,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_52]) ).

cnf(c_0_144,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_54]) ).

cnf(c_0_145,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_146,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_52]) ).

cnf(c_0_147,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_54]) ).

cnf(c_0_148,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_58]) ).

cnf(c_0_149,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_68]) ).

cnf(c_0_150,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_52]) ).

cnf(c_0_151,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_142,c_0_54]) ).

cnf(c_0_152,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_143,c_0_58]) ).

cnf(c_0_153,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_52]) ).

cnf(c_0_154,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_145,c_0_91]) ).

cnf(c_0_155,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_91]) ).

cnf(c_0_156,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_52]) ).

cnf(c_0_157,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_54]) ).

cnf(c_0_158,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_149,c_0_58]) ).

cnf(c_0_159,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_68]) ).

cnf(c_0_160,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_52]) ).

cnf(c_0_161,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_54]) ).

cnf(c_0_162,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_58]) ).

cnf(c_0_163,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_154,c_0_68]) ).

cnf(c_0_164,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_155,c_0_68]) ).

cnf(c_0_165,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_91]) ).

cnf(c_0_166,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_52]) ).

cnf(c_0_167,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_54]) ).

cnf(c_0_168,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_58]) ).

cnf(c_0_169,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_68]) ).

cnf(c_0_170,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_52]) ).

cnf(c_0_171,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_54]) ).

cnf(c_0_172,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_163,c_0_58]) ).

cnf(c_0_173,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_58]) ).

cnf(c_0_174,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_68]) ).

cnf(c_0_175,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_166,c_0_91]) ).

cnf(c_0_176,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_52]) ).

cnf(c_0_177,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_54]) ).

cnf(c_0_178,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_58]) ).

cnf(c_0_179,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_68]) ).

cnf(c_0_180,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_52]) ).

cnf(c_0_181,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_172,c_0_54]) ).

cnf(c_0_182,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_54]) ).

cnf(c_0_183,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_174,c_0_58]) ).

cnf(c_0_184,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_68]) ).

cnf(c_0_185,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_91]) ).

cnf(c_0_186,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_52]) ).

cnf(c_0_187,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_54]) ).

cnf(c_0_188,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_58]) ).

cnf(c_0_189,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_68]) ).

cnf(c_0_190,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_181,c_0_52]) ).

cnf(c_0_191,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_52]) ).

cnf(c_0_192,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_54]) ).

cnf(c_0_193,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_184,c_0_58]) ).

cnf(c_0_194,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_68]) ).

cnf(c_0_195,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_91]) ).

cnf(c_0_196,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_52]) ).

cnf(c_0_197,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_54]) ).

cnf(c_0_198,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_58]) ).

cnf(c_0_199,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_200,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_52]) ).

cnf(c_0_201,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_54]) ).

cnf(c_0_202,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_58]) ).

cnf(c_0_203,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_68]) ).

cnf(c_0_204,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_91]) ).

cnf(c_0_205,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_197,c_0_52]) ).

cnf(c_0_206,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_54]) ).

cnf(c_0_207,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_199,c_0_136]) ).

cnf(c_0_208,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_136]) ).

cnf(c_0_209,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_201,c_0_52]) ).

cnf(c_0_210,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_202,c_0_54]) ).

cnf(c_0_211,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_58]) ).

cnf(c_0_212,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_204,c_0_68]) ).

cnf(c_0_213,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_205,c_0_91]) ).

cnf(c_0_214,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_206,c_0_52]) ).

cnf(c_0_215,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_207,c_0_91]) ).

cnf(c_0_216,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_91]) ).

cnf(c_0_217,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_136]) ).

cnf(c_0_218,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_52]) ).

cnf(c_0_219,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_211,c_0_54]) ).

cnf(c_0_220,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_212,c_0_58]) ).

cnf(c_0_221,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_68]) ).

cnf(c_0_222,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_91]) ).

cnf(c_0_223,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_215,c_0_68]) ).

cnf(c_0_224,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_216,c_0_68]) ).

cnf(c_0_225,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_91]) ).

cnf(c_0_226,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_218,c_0_136]) ).

cnf(c_0_227,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_219,c_0_52]) ).

cnf(c_0_228,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_220,c_0_54]) ).

cnf(c_0_229,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_58]) ).

cnf(c_0_230,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_68]) ).

cnf(c_0_231,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_223,c_0_58]) ).

cnf(c_0_232,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_58]) ).

cnf(c_0_233,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_68]) ).

cnf(c_0_234,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_226,c_0_91]) ).

cnf(c_0_235,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_227,c_0_136]) ).

cnf(c_0_236,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_228,c_0_52]) ).

cnf(c_0_237,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_54]) ).

cnf(c_0_238,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_230,c_0_58]) ).

cnf(c_0_239,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_231,c_0_54]) ).

cnf(c_0_240,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_232,c_0_54]) ).

cnf(c_0_241,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_233,c_0_58]) ).

cnf(c_0_242,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_234,c_0_68]) ).

cnf(c_0_243,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_91]) ).

cnf(c_0_244,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_136]) ).

cnf(c_0_245,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_237,c_0_52]) ).

cnf(c_0_246,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_238,c_0_54]) ).

cnf(c_0_247,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_239,c_0_52]) ).

cnf(c_0_248,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_52]) ).

cnf(c_0_249,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_54]) ).

cnf(c_0_250,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_242,c_0_58]) ).

cnf(c_0_251,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_243,c_0_68]) ).

cnf(c_0_252,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_244,c_0_91]) ).

cnf(c_0_253,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_245,c_0_136]) ).

cnf(c_0_254,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_246,c_0_52]) ).

cnf(c_0_255,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_256,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_249,c_0_52]) ).

cnf(c_0_257,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_54]) ).

cnf(c_0_258,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_251,c_0_58]) ).

cnf(c_0_259,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_252,c_0_68]) ).

cnf(c_0_260,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_91]) ).

cnf(c_0_261,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_254,c_0_136]) ).

cnf(c_0_262,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_255,c_0_191]) ).

cnf(c_0_263,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_256,c_0_191]) ).

cnf(c_0_264,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_257,c_0_52]) ).

cnf(c_0_265,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_54]) ).

cnf(c_0_266,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_58]) ).

cnf(c_0_267,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_260,c_0_68]) ).

cnf(c_0_268,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_261,c_0_91]) ).

cnf(c_0_269,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    i_0_17 ).

cnf(c_0_270,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_262,c_0_136]) ).

cnf(c_0_271,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_263,c_0_136]) ).

cnf(c_0_272,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_264,c_0_191]) ).

cnf(c_0_273,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_265,c_0_52]) ).

cnf(c_0_274,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_266,c_0_54]) ).

cnf(c_0_275,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_267,c_0_58]) ).

cnf(c_0_276,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_268,c_0_68]) ).

cnf(c_0_277,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
    inference(spm,[status(thm)],[c_0_269,c_0_52]) ).

cnf(c_0_278,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_270,c_0_91]) ).

cnf(c_0_279,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_91]) ).

cnf(c_0_280,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_272,c_0_136]) ).

cnf(c_0_281,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_273,c_0_191]) ).

cnf(c_0_282,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_274,c_0_52]) ).

cnf(c_0_283,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_54]) ).

cnf(c_0_284,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_276,c_0_58]) ).

cnf(c_0_285,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_54]) ).

cnf(c_0_286,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_278,c_0_68]) ).

cnf(c_0_287,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_68]) ).

cnf(c_0_288,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_280,c_0_91]) ).

cnf(c_0_289,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_281,c_0_136]) ).

cnf(c_0_290,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_191]) ).

cnf(c_0_291,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_283,c_0_52]) ).

cnf(c_0_292,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_284,c_0_54]) ).

cnf(c_0_293,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_285,c_0_52]) ).

cnf(c_0_294,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_286,c_0_58]) ).

cnf(c_0_295,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_287,c_0_58]) ).

cnf(c_0_296,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_68]) ).

cnf(c_0_297,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_289,c_0_91]) ).

cnf(c_0_298,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_290,c_0_136]) ).

cnf(c_0_299,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_291,c_0_191]) ).

cnf(c_0_300,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_292,c_0_52]) ).

cnf(c_0_301,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_293,c_0_58]) ).

cnf(c_0_302,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_294,c_0_54]) ).

cnf(c_0_303,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_295,c_0_54]) ).

cnf(c_0_304,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_296,c_0_58]) ).

cnf(c_0_305,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_297,c_0_68]) ).

cnf(c_0_306,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_298,c_0_91]) ).

cnf(c_0_307,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_299,c_0_136]) ).

cnf(c_0_308,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_300,c_0_191]) ).

cnf(c_0_309,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_54]) ).

cnf(c_0_310,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_302,c_0_52]) ).

cnf(c_0_311,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_303,c_0_52]) ).

cnf(c_0_312,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_54]) ).

cnf(c_0_313,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_58]) ).

cnf(c_0_314,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_306,c_0_68]) ).

cnf(c_0_315,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_91]) ).

cnf(c_0_316,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_308,c_0_136]) ).

cnf(c_0_317,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_309,c_0_52]) ).

cnf(c_0_318,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_319,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_312,c_0_52]) ).

cnf(c_0_320,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_54]) ).

cnf(c_0_321,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_314,c_0_58]) ).

cnf(c_0_322,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_315,c_0_68]) ).

cnf(c_0_323,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_316,c_0_91]) ).

cnf(c_0_324,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_317,c_0_68]) ).

cnf(c_0_325,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_318,c_0_248]) ).

cnf(c_0_326,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_319,c_0_248]) ).

cnf(c_0_327,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_320,c_0_52]) ).

cnf(c_0_328,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_54]) ).

cnf(c_0_329,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_322,c_0_58]) ).

cnf(c_0_330,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_323,c_0_68]) ).

cnf(c_0_331,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_324,c_0_58]) ).

cnf(c_0_332,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_325,c_0_191]) ).

cnf(c_0_333,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_326,c_0_191]) ).

cnf(c_0_334,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_327,c_0_248]) ).

cnf(c_0_335,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_328,c_0_52]) ).

cnf(c_0_336,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_329,c_0_54]) ).

cnf(c_0_337,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_330,c_0_58]) ).

cnf(c_0_338,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_331,c_0_54]) ).

cnf(c_0_339,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_332,c_0_136]) ).

cnf(c_0_340,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_333,c_0_136]) ).

cnf(c_0_341,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_334,c_0_191]) ).

cnf(c_0_342,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_335,c_0_248]) ).

cnf(c_0_343,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_336,c_0_52]) ).

cnf(c_0_344,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_337,c_0_54]) ).

cnf(c_0_345,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_338,c_0_52]) ).

cnf(c_0_346,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_339,c_0_91]) ).

cnf(c_0_347,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_340,c_0_91]) ).

cnf(c_0_348,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_341,c_0_136]) ).

cnf(c_0_349,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_342,c_0_191]) ).

cnf(c_0_350,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_343,c_0_248]) ).

cnf(c_0_351,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_344,c_0_52]) ).

cnf(c_0_352,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_345,c_0_91]) ).

cnf(c_0_353,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_346,c_0_68]) ).

cnf(c_0_354,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_347,c_0_68]) ).

cnf(c_0_355,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_348,c_0_91]) ).

cnf(c_0_356,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_349,c_0_136]) ).

cnf(c_0_357,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_350,c_0_191]) ).

cnf(c_0_358,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_351,c_0_248]) ).

cnf(c_0_359,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_352,c_0_68]) ).

cnf(c_0_360,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_353,c_0_58]) ).

cnf(c_0_361,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_58]) ).

cnf(c_0_362,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_355,c_0_68]) ).

cnf(c_0_363,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_356,c_0_91]) ).

cnf(c_0_364,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_357,c_0_136]) ).

cnf(c_0_365,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_358,c_0_191]) ).

cnf(c_0_366,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_359,c_0_58]) ).

cnf(c_0_367,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_360,c_0_54]) ).

cnf(c_0_368,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_361,c_0_54]) ).

cnf(c_0_369,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_58]) ).

cnf(c_0_370,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_363,c_0_68]) ).

cnf(c_0_371,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_364,c_0_91]) ).

cnf(c_0_372,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_365,c_0_136]) ).

cnf(c_0_373,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_366,c_0_54]) ).

cnf(c_0_374,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_367,c_0_52]) ).

cnf(c_0_375,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_368,c_0_52]) ).

cnf(c_0_376,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_369,c_0_54]) ).

cnf(c_0_377,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_370,c_0_58]) ).

cnf(c_0_378,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_371,c_0_68]) ).

cnf(c_0_379,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_372,c_0_91]) ).

cnf(c_0_380,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_373,c_0_52]) ).

cnf(c_0_381,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_382,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_376,c_0_52]) ).

cnf(c_0_383,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_54]) ).

cnf(c_0_384,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_378,c_0_58]) ).

cnf(c_0_385,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_379,c_0_68]) ).

cnf(c_0_386,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_380,c_0_136]) ).

cnf(c_0_387,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_381,c_0_311]) ).

cnf(c_0_388,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_382,c_0_311]) ).

cnf(c_0_389,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_383,c_0_52]) ).

cnf(c_0_390,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_384,c_0_54]) ).

cnf(c_0_391,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_385,c_0_58]) ).

cnf(c_0_392,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_386,c_0_91]) ).

cnf(c_0_393,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_387,c_0_248]) ).

cnf(c_0_394,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_388,c_0_248]) ).

cnf(c_0_395,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_389,c_0_311]) ).

cnf(c_0_396,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_390,c_0_52]) ).

cnf(c_0_397,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_54]) ).

cnf(c_0_398,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_68]) ).

cnf(c_0_399,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_393,c_0_191]) ).

cnf(c_0_400,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_394,c_0_191]) ).

cnf(c_0_401,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_395,c_0_248]) ).

cnf(c_0_402,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_396,c_0_311]) ).

cnf(c_0_403,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_397,c_0_52]) ).

cnf(c_0_404,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_398,c_0_58]) ).

cnf(c_0_405,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_399,c_0_136]) ).

cnf(c_0_406,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_400,c_0_136]) ).

cnf(c_0_407,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_401,c_0_191]) ).

cnf(c_0_408,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_402,c_0_248]) ).

cnf(c_0_409,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_403,c_0_311]) ).

cnf(c_0_410,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_54]) ).

cnf(c_0_411,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_405,c_0_91]) ).

cnf(c_0_412,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_406,c_0_91]) ).

cnf(c_0_413,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_407,c_0_136]) ).

cnf(c_0_414,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_408,c_0_191]) ).

cnf(c_0_415,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_409,c_0_248]) ).

cnf(c_0_416,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_410,c_0_52]) ).

cnf(c_0_417,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_411,c_0_68]) ).

cnf(c_0_418,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_412,c_0_68]) ).

cnf(c_0_419,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_413,c_0_91]) ).

cnf(c_0_420,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_414,c_0_136]) ).

cnf(c_0_421,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_415,c_0_191]) ).

cnf(c_0_422,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_416,c_0_191]) ).

cnf(c_0_423,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_417,c_0_58]) ).

cnf(c_0_424,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_418,c_0_58]) ).

cnf(c_0_425,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_419,c_0_68]) ).

cnf(c_0_426,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_420,c_0_91]) ).

cnf(c_0_427,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_136]) ).

cnf(c_0_428,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_422,c_0_136]) ).

cnf(c_0_429,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_423,c_0_54]) ).

cnf(c_0_430,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_424,c_0_54]) ).

cnf(c_0_431,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_425,c_0_58]) ).

cnf(c_0_432,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_426,c_0_68]) ).

cnf(c_0_433,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_427,c_0_91]) ).

cnf(c_0_434,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_428,c_0_91]) ).

cnf(c_0_435,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_429,c_0_52]) ).

cnf(c_0_436,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_430,c_0_52]) ).

cnf(c_0_437,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_431,c_0_54]) ).

cnf(c_0_438,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_432,c_0_58]) ).

cnf(c_0_439,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_433,c_0_68]) ).

cnf(c_0_440,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_434,c_0_68]) ).

cnf(c_0_441,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_442,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_437,c_0_52]) ).

cnf(c_0_443,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_54]) ).

cnf(c_0_444,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_439,c_0_58]) ).

cnf(c_0_445,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_440,c_0_58]) ).

cnf(c_0_446,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_441,c_0_375]) ).

cnf(c_0_447,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_442,c_0_375]) ).

cnf(c_0_448,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_443,c_0_52]) ).

cnf(c_0_449,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_444,c_0_54]) ).

cnf(c_0_450,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_445,c_0_54]) ).

cnf(c_0_451,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_446,c_0_311]) ).

cnf(c_0_452,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_447,c_0_311]) ).

cnf(c_0_453,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_448,c_0_375]) ).

cnf(c_0_454,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_449,c_0_52]) ).

cnf(c_0_455,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_450,c_0_52]) ).

cnf(c_0_456,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_451,c_0_248]) ).

cnf(c_0_457,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_452,c_0_248]) ).

cnf(c_0_458,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_453,c_0_311]) ).

cnf(c_0_459,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_454,c_0_375]) ).

cnf(c_0_460,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_455,c_0_248]) ).

cnf(c_0_461,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_456,c_0_191]) ).

cnf(c_0_462,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_457,c_0_191]) ).

cnf(c_0_463,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_458,c_0_248]) ).

cnf(c_0_464,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_459,c_0_311]) ).

cnf(c_0_465,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_460,c_0_191]) ).

cnf(c_0_466,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_461,c_0_136]) ).

cnf(c_0_467,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_462,c_0_136]) ).

cnf(c_0_468,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_463,c_0_191]) ).

cnf(c_0_469,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_464,c_0_248]) ).

cnf(c_0_470,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_465,c_0_136]) ).

cnf(c_0_471,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_466,c_0_91]) ).

cnf(c_0_472,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_467,c_0_91]) ).

cnf(c_0_473,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_468,c_0_136]) ).

cnf(c_0_474,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_469,c_0_191]) ).

cnf(c_0_475,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_470,c_0_91]) ).

cnf(c_0_476,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_471,c_0_68]) ).

cnf(c_0_477,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_472,c_0_68]) ).

cnf(c_0_478,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_473,c_0_91]) ).

cnf(c_0_479,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_474,c_0_136]) ).

cnf(c_0_480,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_475,c_0_68]) ).

cnf(c_0_481,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_476,c_0_58]) ).

cnf(c_0_482,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_477,c_0_58]) ).

cnf(c_0_483,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_478,c_0_68]) ).

cnf(c_0_484,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_479,c_0_91]) ).

cnf(c_0_485,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_480,c_0_58]) ).

cnf(c_0_486,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_481,c_0_54]) ).

cnf(c_0_487,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_482,c_0_54]) ).

cnf(c_0_488,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_483,c_0_58]) ).

cnf(c_0_489,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_484,c_0_68]) ).

cnf(c_0_490,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_54]) ).

cnf(c_0_491,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_486,c_0_52]) ).

cnf(c_0_492,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_487,c_0_52]) ).

cnf(c_0_493,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_54]) ).

cnf(c_0_494,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_489,c_0_58]) ).

cnf(c_0_495,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_490,c_0_52]) ).

cnf(c_0_496,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_497,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_493,c_0_52]) ).

cnf(c_0_498,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_494,c_0_54]) ).

cnf(c_0_499,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_495,c_0_311]) ).

cnf(c_0_500,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_496,c_0_436]) ).

cnf(c_0_501,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_497,c_0_436]) ).

cnf(c_0_502,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_498,c_0_52]) ).

cnf(c_0_503,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_499,c_0_248]) ).

cnf(c_0_504,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_500,c_0_375]) ).

cnf(c_0_505,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_501,c_0_375]) ).

cnf(c_0_506,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_502,c_0_436]) ).

cnf(c_0_507,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_503,c_0_191]) ).

cnf(c_0_508,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_504,c_0_311]) ).

cnf(c_0_509,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_505,c_0_311]) ).

cnf(c_0_510,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_506,c_0_375]) ).

cnf(c_0_511,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_507,c_0_136]) ).

cnf(c_0_512,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_508,c_0_248]) ).

cnf(c_0_513,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_509,c_0_248]) ).

cnf(c_0_514,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_510,c_0_311]) ).

cnf(c_0_515,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_511,c_0_91]) ).

cnf(c_0_516,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_512,c_0_191]) ).

cnf(c_0_517,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_513,c_0_191]) ).

cnf(c_0_518,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_514,c_0_248]) ).

cnf(c_0_519,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_515,c_0_68]) ).

cnf(c_0_520,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_516,c_0_136]) ).

cnf(c_0_521,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_517,c_0_136]) ).

cnf(c_0_522,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_518,c_0_191]) ).

cnf(c_0_523,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_519,c_0_58]) ).

cnf(c_0_524,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_520,c_0_91]) ).

cnf(c_0_525,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_521,c_0_91]) ).

cnf(c_0_526,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_522,c_0_136]) ).

cnf(c_0_527,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_54]) ).

cnf(c_0_528,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_524,c_0_68]) ).

cnf(c_0_529,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_525,c_0_68]) ).

cnf(c_0_530,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_526,c_0_91]) ).

cnf(c_0_531,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_527,c_0_52]) ).

cnf(c_0_532,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_528,c_0_58]) ).

cnf(c_0_533,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_529,c_0_58]) ).

cnf(c_0_534,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_530,c_0_68]) ).

cnf(c_0_535,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_531,c_0_375]) ).

cnf(c_0_536,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_532,c_0_54]) ).

cnf(c_0_537,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_533,c_0_54]) ).

cnf(c_0_538,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_534,c_0_58]) ).

cnf(c_0_539,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_535,c_0_311]) ).

cnf(c_0_540,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_536,c_0_52]) ).

cnf(c_0_541,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_537,c_0_52]) ).

cnf(c_0_542,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_538,c_0_54]) ).

cnf(c_0_543,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_539,c_0_248]) ).

cnf(c_0_544,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_545,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_542,c_0_52]) ).

cnf(c_0_546,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_543,c_0_191]) ).

cnf(c_0_547,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_544,c_0_492]) ).

cnf(c_0_548,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_545,c_0_492]) ).

cnf(c_0_549,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_546,c_0_136]) ).

cnf(c_0_550,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_547,c_0_436]) ).

cnf(c_0_551,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_548,c_0_436]) ).

cnf(c_0_552,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_549,c_0_91]) ).

cnf(c_0_553,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_550,c_0_375]) ).

cnf(c_0_554,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_551,c_0_375]) ).

cnf(c_0_555,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_552,c_0_68]) ).

cnf(c_0_556,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_553,c_0_311]) ).

cnf(c_0_557,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_554,c_0_311]) ).

cnf(c_0_558,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_555,c_0_58]) ).

cnf(c_0_559,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_556,c_0_248]) ).

cnf(c_0_560,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_557,c_0_248]) ).

cnf(c_0_561,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_558,c_0_54]) ).

cnf(c_0_562,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_559,c_0_191]) ).

cnf(c_0_563,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_560,c_0_191]) ).

cnf(c_0_564,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_561,c_0_52]) ).

cnf(c_0_565,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_562,c_0_136]) ).

cnf(c_0_566,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_563,c_0_136]) ).

cnf(c_0_567,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_564,c_0_436]) ).

cnf(c_0_568,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_565,c_0_91]) ).

cnf(c_0_569,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_566,c_0_91]) ).

cnf(c_0_570,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_567,c_0_375]) ).

cnf(c_0_571,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_568,c_0_68]) ).

cnf(c_0_572,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_569,c_0_68]) ).

cnf(c_0_573,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_570,c_0_311]) ).

cnf(c_0_574,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_571,c_0_58]) ).

cnf(c_0_575,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_572,c_0_58]) ).

cnf(c_0_576,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_573,c_0_248]) ).

cnf(c_0_577,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_574,c_0_54]) ).

cnf(c_0_578,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_575,c_0_54]) ).

cnf(c_0_579,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_576,c_0_191]) ).

cnf(c_0_580,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_577,c_0_52]) ).

cnf(c_0_581,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_578,c_0_52]) ).

cnf(c_0_582,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_579,c_0_136]) ).

cnf(c_0_583,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_580,c_0_581]) ).

cnf(c_0_584,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_582,c_0_91]) ).

cnf(c_0_585,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_583,c_0_541]) ).

cnf(c_0_586,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
    inference(spm,[status(thm)],[c_0_584,c_0_68]) ).

cnf(c_0_587,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_585,c_0_492]) ).

cnf(c_0_588,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
    inference(spm,[status(thm)],[c_0_586,c_0_58]) ).

cnf(c_0_589,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_587,c_0_436]) ).

cnf(c_0_590,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
    inference(spm,[status(thm)],[c_0_588,c_0_54]) ).

cnf(c_0_591,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_589,c_0_375]) ).

cnf(c_0_592,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_590,c_0_52]) ).

cnf(c_0_593,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_591,c_0_311]) ).

cnf(c_0_594,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_592,c_0_492]) ).

cnf(c_0_595,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_593,c_0_248]) ).

cnf(c_0_596,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_594,c_0_436]) ).

cnf(c_0_597,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_595,c_0_191]) ).

cnf(c_0_598,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_596,c_0_375]) ).

cnf(c_0_599,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_597,c_0_136]) ).

cnf(c_0_600,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_598,c_0_311]) ).

cnf(c_0_601,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_599,c_0_91]) ).

cnf(c_0_602,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_600,c_0_248]) ).

cnf(c_0_603,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_601,c_0_68]) ).

cnf(c_0_604,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_602,c_0_191]) ).

cnf(c_0_605,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_603,c_0_58]) ).

cnf(c_0_606,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_604,c_0_136]) ).

cnf(c_0_607,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_605,c_0_54]) ).

cnf(c_0_608,plain,
    ( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
    | ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
    inference(spm,[status(thm)],[c_0_606,c_0_91]) ).

cnf(c_0_609,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_607,c_0_52]) ).

cnf(c_0_610,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_68]),c_0_609]) ).

cnf(c_0_611,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_610,c_0_58]) ).

cnf(c_0_612,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_611,c_0_54]) ).

cnf(c_0_613,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_612,c_0_52]) ).

cnf(c_0_614,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_613,c_0_541]) ).

cnf(c_0_615,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_614,c_0_492]) ).

cnf(c_0_616,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_615,c_0_436]) ).

cnf(c_0_617,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_616,c_0_375]) ).

cnf(c_0_618,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_617,c_0_311]) ).

cnf(c_0_619,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_618,c_0_248]) ).

cnf(c_0_620,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_619,c_0_191]) ).

cnf(c_0_621,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_620,c_0_136]) ).

cnf(c_0_622,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_621,c_0_91]) ).

cnf(c_0_623,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_622,c_0_68]) ).

cnf(c_0_624,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_623,c_0_58]) ).

cnf(c_0_625,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_624,c_0_54]) ).

cnf(c_0_626,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_625,c_0_52]) ).

cnf(c_0_627,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_626,c_0_581]) ).

cnf(c_0_628,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_627,c_0_541]) ).

cnf(c_0_629,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_628,c_0_492]) ).

cnf(c_0_630,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_629,c_0_436]) ).

cnf(c_0_631,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_630,c_0_375]) ).

cnf(c_0_632,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_631,c_0_311]) ).

cnf(c_0_633,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_632,c_0_248]) ).

cnf(c_0_634,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_633,c_0_191]) ).

cnf(c_0_635,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_634,c_0_136]) ).

cnf(c_0_636,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_635,c_0_91]) ).

cnf(c_0_637,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference(spm,[status(thm)],[c_0_636,c_0_68]) ).

cnf(c_0_638,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference(spm,[status(thm)],[c_0_637,c_0_58]) ).

cnf(c_0_639,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference(spm,[status(thm)],[c_0_638,c_0_54]) ).

cnf(c_0_640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    i_0_1 ).

cnf(c_0_641,plain,
    ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(spm,[status(thm)],[c_0_639,c_0_52]) ).

cnf(c_0_642,plain,
    $false,
    inference(sr,[status(thm)],[c_0_640,c_0_641]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYO525+1.015 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 13:28:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.17/2.65  # ENIGMATIC: Solved by autoschedule:
% 9.17/2.65  # No SInE strategy applied
% 9.17/2.65  # Trying AutoSched0 for 150 seconds
% 9.17/2.65  # AutoSched0-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S024A
% 9.17/2.65  # and selection function SelectOptimalRestrPDepth2.
% 9.17/2.65  #
% 9.17/2.65  # Preprocessing time       : 0.022 s
% 9.17/2.65  # Presaturation interreduction done
% 9.17/2.65  
% 9.17/2.65  # Proof found!
% 9.17/2.65  # SZS status Theorem
% 9.17/2.65  # SZS output start CNFRefutation
% See solution above
% 9.17/2.65  # Training examples: 0 positive, 0 negative
% 9.17/2.65  
% 9.17/2.65  # -------------------------------------------------
% 9.17/2.65  # User time                : 0.071 s
% 9.17/2.65  # System time              : 0.006 s
% 9.17/2.65  # Total time               : 0.077 s
% 9.17/2.65  # Maximum resident set size: 7116 pages
% 9.17/2.65  
%------------------------------------------------------------------------------